{
 "cells": [
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   "source": [
    "# Debiasing with Propensity Score\n",
    " \n",
    "Previously, we saw how to go from a biased dataset to one where the treatment looked as good as randomly assigned. We used orthogonalization for that. That technique was based on predicting the treatment and the outcome and then replacing both with their predictions' residuals. \n",
    " \n",
    "$\n",
    "t^* = t - M_t(X)\n",
    "$\n",
    " \n",
    "$\n",
    "y^* = y - M_y(X)\n",
    "$\n",
    " \n",
    "That alone is a powerful technique. It works both when the treatment is continuous or binary. Now, we'll take a look at another method which is based on the propensity score. Since the propensity score is best defined when the treatment is binary or categorical, this debiasing technique will also work only for categorical  or binary treatments. Still, in some situations, it can be more reliable than orthogonalization and it is very much worth learning. \n",
    " \n",
    "But first, we need to change context a little bit. We were talking about ice cream prices, which is a continuous treatment. Now, we will look into marketing emails, a binary treatment. And just as a side note, it is totally fair play to discretize a continuous treatment into buckets so it looks categorial (for example, you can take price, which is continuous, and discretize it in bins of R$ 2.00 like [2.00, 4.00, 6.00, 8.00]). Back to the emails now.\n",
    " \n",
    "The situation goes like this. You work at a financial company (I'm not very creative with my examples, sorry) that supplies, not surprisingly, financial products such as life insurance, savings account, investment account and so on. The company is coming up with a new financial consulting service and wants to market it to its customers. To do so, the marketing team tried out three different emails: `em1`, `em2` and `em3`. \n",
    " \n",
    "Because the marketing team is very well educated in statistics and experimental design, they don't simply send the email to everyone and see what happend. Instead, they design an experiment where each customer has a probability of receiving the email. This probability is based on their business intuition to who will be more responsive to the email. For example, `em1` is targeted to a mass market audience, that don't invest much and that don't have a high income. These people will have a higher probability of receiving `em1`. Finally, after having defined that probability, we randomize the assignment so that customers receive the email according to their assigned probabilities.\n",
    " \n",
    "![img](./data/img/debias-ps/ps-experiment.png)\n",
    " \n",
    "As a side note, this is the best way I know of that uses business expertise to target an audience while still allowing you to make valid inference about how effective the marketing strategy is. The marketing team not only assigned the email according to this probability function, but they actually stored each customers' probability, which will be very handy later on. \n",
    " \n",
    "Here is what the data from this experiment looks like. We have data on four customer attributes: `age`, `income`, how much they have on life `insurance` and how much they have `invested`. These are the attributes which the marketing team used to assign the probability of receiving each email. Those probabilities are stored in columns `em1_ps`, `em2_ps` and `em3_ps`. Then, we have information on whether the customer actually received the email on columns `em1`, `em2` and `em3`. These are our treatment variables. Finally, we have the outcome, `converted`, flags if the customer contracted the financial advisory service."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": [
     "hide-input"
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   },
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   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>income</th>\n",
       "      <th>insurance</th>\n",
       "      <th>invested</th>\n",
       "      <th>em1_ps</th>\n",
       "      <th>em2_ps</th>\n",
       "      <th>em3_ps</th>\n",
       "      <th>em1</th>\n",
       "      <th>em2</th>\n",
       "      <th>em3</th>\n",
       "      <th>converted</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>44.1</td>\n",
       "      <td>4214.66</td>\n",
       "      <td>14036.41</td>\n",
       "      <td>7988.66</td>\n",
       "      <td>0.118507</td>\n",
       "      <td>0.045174</td>\n",
       "      <td>0.921281</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>39.8</td>\n",
       "      <td>1151.27</td>\n",
       "      <td>66622.15</td>\n",
       "      <td>1000.74</td>\n",
       "      <td>0.431123</td>\n",
       "      <td>0.005659</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>49.0</td>\n",
       "      <td>8047.26</td>\n",
       "      <td>14119.53</td>\n",
       "      <td>29480.22</td>\n",
       "      <td>0.062137</td>\n",
       "      <td>0.166706</td>\n",
       "      <td>0.840049</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>39.7</td>\n",
       "      <td>10558.37</td>\n",
       "      <td>14798.26</td>\n",
       "      <td>36373.09</td>\n",
       "      <td>0.047372</td>\n",
       "      <td>0.205684</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>35.3</td>\n",
       "      <td>802.15</td>\n",
       "      <td>780.84</td>\n",
       "      <td>1643.16</td>\n",
       "      <td>0.616450</td>\n",
       "      <td>0.009292</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    age    income  insurance  invested    em1_ps    em2_ps    em3_ps  em1  \\\n",
       "0  44.1   4214.66   14036.41   7988.66  0.118507  0.045174  0.921281    0   \n",
       "1  39.8   1151.27   66622.15   1000.74  0.431123  0.005659  0.000000    1   \n",
       "2  49.0   8047.26   14119.53  29480.22  0.062137  0.166706  0.840049    0   \n",
       "3  39.7  10558.37   14798.26  36373.09  0.047372  0.205684  0.000000    0   \n",
       "4  35.3    802.15     780.84   1643.16  0.616450  0.009292  0.000000    1   \n",
       "\n",
       "   em2  em3  converted  \n",
       "0    0    1          1  \n",
       "1    0    0          0  \n",
       "2    0    1          0  \n",
       "3    0    0          0  \n",
       "4    0    0          0  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "email = pd.read_csv(\"./data/invest_email.csv\")\n",
    "email.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see, there are customers with very low probability of receiving `em1`. This is the case of customer 2, which has a probability of only 0.062. Also notice that this customer did not receive `em1`. This is not surprising, given that he had a very low probability of receiving this email. \n",
    " \n",
    "Now, contrast this with the following customers. All of them had a very high chance of getting `em1`, but none of them did."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>income</th>\n",
       "      <th>insurance</th>\n",
       "      <th>invested</th>\n",
       "      <th>em1_ps</th>\n",
       "      <th>em2_ps</th>\n",
       "      <th>em3_ps</th>\n",
       "      <th>em1</th>\n",
       "      <th>em2</th>\n",
       "      <th>em3</th>\n",
       "      <th>converted</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2438</th>\n",
       "      <td>48.0</td>\n",
       "      <td>538.02</td>\n",
       "      <td>26276.38</td>\n",
       "      <td>1582.82</td>\n",
       "      <td>0.913562</td>\n",
       "      <td>0.008951</td>\n",
       "      <td>0.999208</td>\n",
       "      <td>0</td>\n",
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       "      <td>1</td>\n",
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       "    <tr>\n",
       "      <th>2692</th>\n",
       "      <td>44.2</td>\n",
       "      <td>545.62</td>\n",
       "      <td>2377.01</td>\n",
       "      <td>743.40</td>\n",
       "      <td>0.901065</td>\n",
       "      <td>0.004204</td>\n",
       "      <td>0.999047</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3152</th>\n",
       "      <td>44.6</td>\n",
       "      <td>541.42</td>\n",
       "      <td>13272.96</td>\n",
       "      <td>1455.92</td>\n",
       "      <td>0.907929</td>\n",
       "      <td>0.008233</td>\n",
       "      <td>0.999136</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4175</th>\n",
       "      <td>38.0</td>\n",
       "      <td>543.20</td>\n",
       "      <td>16787.28</td>\n",
       "      <td>1302.20</td>\n",
       "      <td>0.905007</td>\n",
       "      <td>0.007364</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       age  income  insurance  invested    em1_ps    em2_ps    em3_ps  em1  \\\n",
       "2438  48.0  538.02   26276.38   1582.82  0.913562  0.008951  0.999208    0   \n",
       "2692  44.2  545.62    2377.01    743.40  0.901065  0.004204  0.999047    0   \n",
       "3152  44.6  541.42   13272.96   1455.92  0.907929  0.008233  0.999136    0   \n",
       "4175  38.0  543.20   16787.28   1302.20  0.905007  0.007364  0.000000    0   \n",
       "\n",
       "      em2  em3  converted  \n",
       "2438    0    1          1  \n",
       "2692    0    1          0  \n",
       "3152    0    1          1  \n",
       "4175    0    0          1  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "email.query(\"em1 == 0\").query(\"em1_ps>0.9\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inverse Probability of Treatment Weighting\n",
    " \n",
    "![img](./data/img/debias-ps/again.png)\n",
    " \n",
    "Just to recap the idea behind propensity score debiasing (we've already seen it when we discussed propensity score), we are very interested in customers like the ones above. They look a lot like the ones that get `em1`, after all they had a high probability of getting that email. However, they didn't get it. This makes them awesome candidates to estimate the counterfactual outcome $Y_0|em1=1$. \n",
    " \n",
    "Propensity score debiasing works by encoding this intuitive importance we want to give to customers that look like the treated, but didn't get the treatment. It will also assign a high importance for those that look like the untreated, but got the treatment. The idea is pretty simple: just **weight every unit by the inverse probability of the treatment they got**. So, if a unit got the treatment, weigh it by $1/P(treatment=1)$. If a unit did not get the treatment, weigh it by $1/P(treatment=0)$ or $1/P(control)$. In the case of binary treatment, this is simply\n",
    " \n",
    "$$\n",
    "W_i = \\dfrac{T}{P(T=1|X)} + \\dfrac{1-T}{1-P(T=1|X)}\n",
    "$$\n",
    " \n",
    "For multiple treatments, we can generalize it to\n",
    " \n",
    "$$\n",
    "W_i = \\sum^K_{k=0} \\dfrac{\\mathcal{1}_{K=k} }{P(T=k|X)}\n",
    "$$\n",
    " \n",
    "Now that we had an idea about how to use the propensity score to do debiasing, let's check how this works in practice. But first, let's see what happens when we don't debias our dataset.\n",
    " \n",
    "Like I've said before, the treatment is confounded by the customer's characteristics: age, income, how much they have on insurance and how muc they have on hinvestment. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "confounders = [\"age\", \"income\", \"insurance\", \"invested\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we look at their correlation structure, we can see that these variables are indeed confounders. They are correlated both with the treatment `em1` and the outcome `converted`. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>em1</th>\n",
       "      <th>converted</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>age</th>\n",
       "      <td>-0.058796</td>\n",
       "      <td>0.401759</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>income</th>\n",
       "      <td>-0.305610</td>\n",
       "      <td>-0.054009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>insurance</th>\n",
       "      <td>-0.023948</td>\n",
       "      <td>-0.076234</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>invested</th>\n",
       "      <td>-0.242374</td>\n",
       "      <td>-0.030250</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>em1</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.046598</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>converted</th>\n",
       "      <td>0.046598</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
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      ],
      "text/plain": [
       "                em1  converted\n",
       "age       -0.058796   0.401759\n",
       "income    -0.305610  -0.054009\n",
       "insurance -0.023948  -0.076234\n",
       "invested  -0.242374  -0.030250\n",
       "em1        1.000000   0.046598\n",
       "converted  0.046598   1.000000"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "email[confounders + [\"em1\", \"converted\"]].corr()[[\"em1\", \"converted\"]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we fail to account for this confounding bias, our causal estimates will be wrong. To give an example, consider the `invested` variable. Those that invest **less** are **more** likely to convert **and** also **more** likely to receive the email. Hence, if we don't control for investments, it will look like `em1` increases the chance of conversion. But that could be just due to correlation, not causation, as lower levels of investments leads to both higher conversion and a higher chance of getting `em1`. \n",
    " \n",
    "Besides looking at the correlation with the confounders, we can also check how the distribution looks like for those that did and didn't get the email `em1`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": [
     "hide-input"
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   },
   "outputs": [
    {
     "data": {
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Br3Hyun0F0TMYO6kTVh30EU8k6QnHqE3JmmiKr9Tb1FSXGo5YGfTSYyNhJW+i2xRYu8pWJJ7E73GmXFQFvfRaeyoLk6VNWTiiSeupbUd4w8zavJY5e1olWw6W91pha9asYcmSJSxatIhAIMANN9zAr371q6z2V9UoTrbP4YuPXw18131+P3CJO3J1NXCvqkZUdTewAydN73nADlXdNbxMVX15aBQtzXt8Tx3PA/Uikr/e8Ah6w8cTCQwREVpqQ7TZWmFTXq5taqoLxxLHMo1W+n30hO2i0ZzM2lV2wrEEfrc9Vfh99NraeyaDQrQp64SZtJ7f1cGKWXV5LXPOtAq2H+obfccS1tbWxty5x5e/mzNnDm1tw5e/y7w/zsjV7GG7zQb2wbGsot1AY+r2Ycdm2j6SrI/J9yLoPeEYlYGTB91twWYDubepqS4SSxJwkxuF/B67aDRpWbvKzmAscaw9VQa89EWsPZn0CtGmrBNmTnK4N0znQCwvqelTzagL0do1SCJp62qXMlW9S1VXqurK5ubmcZfXMxgj5D/5T01TdcDWCjMmR6lzwpw79zYSZsxYRWKJYxmbrRNmJpp1wsxJXtzTyakzavDkITV9qqDPy7RKP62d5XvhPXv2bPbtOz6g1NrayuzZmQehhu8PzAGG3zppA+YCiIgPqMNJ0HFs+7BjM20fyViOyYvuwfQjYQ1VwbL+Lpj8yLVNTWWq6oyEDXXCAl7LjmjSsnaVncFh7ck6YSaTQrQp64SZk6zdc5TFLdUFKXtWfQU7j5RvSOK5557L9u3b2b17N9FolHvvvZerrroqq/1FJICTaGP1sN1WAze5z68Ffq+q6m6/QUSCIrIQJ6nGGmAtsFREFo5Q5nCrgQ+I401At6oeyO3Tj013+OTEHABN1UH2WSdsysu1TU1lkbizzuLQDbLKgNfCEU1a1q6ykzoSFvJ7CccSFq1j0ipEm7LsiOYkL+/r4srTCpOzYUZtiF1H+rn41PyUN6sulFVWm1zKG4nP5+POO+/k8ssvJ5FI8Gd/9mesWLEiq/2BLcDdqrpJRD4DrFPV1cC3ge+LyA7gKE6nCne/+4DNQBy4VVUTcCwV/SM4KervVtVN7va/Bj4OzABeEZEHVfXPcRZNX4WT3GMA+NOx/H7GomcwzsLGNHPCagI8tsXmhJWaUm9TU1k4liCYEtpb4bdOWDmY6DYF1q6yNRg/PifMI0KF3xkNq6uwrL2lbLK0KeuEmRMkksprB3r5qwuXFKT8GbUhdhzO30hYNus65NuqVatYtWrVWPZfPLRNVT+V8jwMXJfuWFX9PPD5NNsfxOlYDd/+P8D/pNmuwK1ZVzqP+iLxDHPCghzosjVZSk05tKmpajAlMyIMjYRZOGKpK0abAmtX2YjEkvh9x6deVAaceZbWCSttk6VNWTiiOcHOI31Mq/JTHSxM/3xGXYhd7f0FKduUpsFogpD/5HDE2go/A7EEA1G7k29MNgajwzthPnptDosxYxZOyY4Iztp7Ni/MTBTrhJkTvNrazaKmwswHA5heG+L1DpsHNJUMROMnXDgO8YjQUhNkf5eFJJriEZG7ReSwiGzM8PqFItItIuvdx6dSXrtCRLaKyA4Rua3QdQ3HkgR8x29oVAS89NsFozFjFokfT8wBUGkhvmYCWSfMnGDzgZ68p6ZP1VQd5Gh/lHAsUbD3MKVlIMNIGDhrhe2ztcJMcd0DXDHKPk+r6lnu4zMAIuIFvgJcCSwHbhSR5YWsaLpwRLtrb8zYpSbmAKgI2LIPZuJYJ8ycYNP+buY3VhasfK9HaKkN2vpQU0h42IVjqsbqAG3WCTNFpKpP4STEydV5wA5V3aWqUeBe4Oq8Vm6YcCxxwl37oM9DNJ4klkgW8m2NmbTC8eSJ4YiWcdRMoIJ2wkYL1XBTb//Eff0FEVmQ8toZIvKciGwSkVdFZPTUJWZcVJWtB3uZ11BV0PeZURtit80LmzIGY5lHwqZVBmytMFMO3iwiG0TkIREZSoc1G0hdBLDV3XYSEblFRNaJyLojR46MuRLD56+ICJUBn4UkGjNGw8MRQ36PdcLMhClYJyzLUI2bgU5VXQLcAXzRPdYH/AD4sKquAC4EbHy4wI70RUgklWmVhc0K1FwT5HUbCZsSkskTF5cdrrkmyL6jNhJmStpLwHxVPRP4X+CXuRagqnep6kpVXdnc3DzmigwOGwkDu3NvzHicFI5oc8LMBCpkivpjoRoAIjIUqrE5ZZ+rgdvd5/cDd4qIAJcBr6jqBgBV7ShgPY1rx6E+5jZUIiKj7zwOLTXB/I2EfXkF9LTmpyyA2jnwsU0j7vJnf/ZnPPDAA7S0tLBxY9q5/MY16K5r5MnwnWqqDvLsDmveJcXa1AlUtSfl+YMi8lURaQLagLkpu85xtxXMYPTkTlhV0GcXjaXO2lTJiiZODEcM+b30Reyef8krQpuC/LerQnbC0oVqnJ9pH1WNi0g30AgsA1REHgGagXtV9UvD30BEbgFuAZg3b17eP8BUs/1wH7PqC5eUY0hLbYhnd7Tnp7CeVrjpgfyUBfDdd466ywc/+EE+8pGP8IEPfCB/7ztJ9UfjhHzpQxHB6YS1WXbE0mJt6gQiMgM4pKoqIufhRJB0AF3AUhFZiNP5ugH4k0LWZXg4IthaYWXB2lTJGh6pUWEjy+WhCG0K8t+uSjUxhw94G/Be9993ichJK7PlK8TDOLYe7M1q1fDxml4bKutwxLe//e00NDQUuxplYTCaIBTI3AlrqArQORAlGrfEAlNZMduUiPwYeA44RURaReRmEfmwiHzY3eVaYKOIbMBZCP0GdcSBjwCPAFuA+1R19Fup4xCJJ08InQInfMoyJJrh7Dw1OlUllkji9x6P1Kjwe+mxmxomg3y3q0KOhGUTqjG0T6s7D6wO5w5jK/CUqrYDiMiDwDnA7wpY3ylv26FeLlsxo+Dv01IT5GBPmHgiic9bqvcBTD4MRBOEMswHAydbZmN1gAPdg8xvLGxCGGPSUdUbR3n9TuDODK89CDxYiHqlE4kn8XlPDO21O/fGjM3QTY3UKRgVAS991p7MBCnkFfBa3FANEQnghGqsHrbPauAm9/m1wO9VVXHuLJ4uIpVu5+wCTpxLZgpg55E+Zk9AOKLf66G+MsD+rnDB38sU10A0TjBDZsQhzdVBWi1NvTGjisST+DzDOmF+C0c0ZiyGL/kAlpjDTKyCdcIyhWqIyGdE5Cp3t28DjSKyA/gYcJt7bCfwZZyO3HrgJVX9TaHqaqB7IEY4lix4ZsQh02uD7LPU5JPeaCNhAE01QVsrzJgshIdlcgM3pbaFIxqTs+Hp6cEWQDcTq5DhiGlDNVT1UynPw8B1GY79AU6aejMBdrb3MXtaRcEzIw5pqXHmhb11Qt7NFMtANDHqSFhDla0VZkw2ovF0nTAfPYM2EmYmF3eZo3VAm6pmlzUhR+lHwnzWCTMTpqCdMFM+dh3pZ+YEJOUY0lQdZG9HHtLU187JOqtN1uWN4sYbb+SJJ56gvb2dOXPm8C//8i/cfPPN+avDJDIQjY8+ElYd5HXrhJUOa1MlKxJPUjHspoatE1YGrE2NxUdxoqhqC/UGkXjypGyjFQGvLX5eDorQpiD/7co6YQaAnYf7mFE7cZ2wlpogO470jb+gLNZ1yLcf//jHE/6e5WogzbpGwzVXB3lpb+cE1ciMytpUyQrHktSETgwZr/B76eiLFKlGJivWpnIiInOAPwI+jzNVpSAisRMzI4LTnvojiUK9pcmXIrQpyH+7stR0BnCScsyYwJGw6bV5GgkzJc1ZXHaUxBw1tlaYMdmIpklRXxnw2pwwM9n8F/BxIOPaJSJyi4isE5F1R44cGdObRBMnh/cG/R4i8QSJpI6pTGNyYZ0wA8Cu9n5m1hU+M+KQlpqQJWOYAgaiCYKjjIQ1VgVo74sQT9haYcaMJBJPnHzn3sIRzSQiIu8EDqvqiyPtl491YqNxPak9eURs7T0zYawTZkgmldbOgQkNR6wJ+YgllO6B3CeUO6sYlK5Sr99EGojGT4q5H87n9VBX4edgjy1ZUCyl/p0t9fpNlEg8id8zfCTMZ+salaBS/86WcP3eClwlInuAe4GLRaQgSdqiiSQ+z8nnp8qAJecoRSX8nT0m1zpaJ8xwqDdMhd9LRWDksLF8EhFm1IVyTlMfCoXo6Ogo2caoqnR0dBAKTVyHtpSlyz6Vjo2MFo+1qfIRiSfxp0mpbeGIpcXa1Nip6idUdY6qLsBZX/b3qvq+QrxXNM3i5+CmqbcbGyWl1NsUjK1dWWIOw+72fmZNwCLNwznzwgY4bXZd1sfMmTOH1tZWxhoDPhFCoRBz5mSXaWeyG4gmqQmN/memqTpAa+cg509AncyJrE2Vj2g8iT/NYs19tlhzSbE2VR6cTtjJNwmdEF9rU6WkHNoU5N6urBNm2NM+wPQJDEUc0lQd5PWjuY2E+f1+Fi5cWKAaFcbDDz/MRz/6UbZt27YD+JaqfiH1dREJAt8D3gh0ANer6h73tU8ANwMJ4K9V9RF3+xXAfwPe1DJFZCFOCEcj8CLwflWNisg84LtAvXvMbe46fgUV7txP48xZo+5na4UVTzm2qakqmmEkrD+SQFUnbJ1HMzJrU/mhqk8ATxSq/Fgiic9zcpupsNHlkjNZ25SFIxp2tffRXBOc8Pdtrgmyu31yZ0hMJBLceuutPPTQQwDLgRtFZPmw3W4GOlV1CXAH8EUAd78bgBXAFcBXRcTrLmL5FeDKNGV+EbjDLavTLRvgk8B9qnq2W+ZXC/KBU8UjDO5+gWDHllF3barJvUNuzFQTiSdOumj0eT34fcJA1NJqG5OLTOGIzuiydcJM4VknzLC7vZ+ZRRgJm14TmvRp6tesWcOSJUtYtGgRqhrFGaW6ethuV+OMUgHcD1wizi3tq4F7VTWiqruBHcB57mOHqu5KLdM95mK3DNwyr3GfK8cXvawD9uf5o56su5VBAgSiR0fdtbk6yD6bE2bMiGIJPSmlNkBV0EePhU8Zk5NI4uREN+B0wizjqJkI1gkz7G0fYPoErhE2ZHptiH2TfPSjra2NuXPnpm5qBWYP2202sA9AVeNAN0444bHtw47NtL0R6HLLGP5etwPvE5FW4EHg/2Wqcz7WXwGg/whhDRKIdo+6a3NN0BJzmKIQkbtF5LCIbMzw+ntF5BUReVVEnhWRM1Ne2+NuXy8i6wpdVydFfZpOWMBnF43G5CgWT+LNEI7YF7GbGqbwrBM2xSWTyr4JTk8/pKkmwJG+CNG4rQ81AW4E7lHVOcAq4Psikrb952P9FQD6DhMmQDDWNequTdVBDveGbYFMUwz34IT7ZrIbuEBVTwc+C9w17PWLVPUsVV1ZoPod4yzWfPJFY1XAS8+gXTQak4tohjlhIRsJMxPEOmFT3KHeMFVBHyH/xKWnH+LzeGisDk7qhAyzZ89m377UQSvmAG3DdmsD5gKIiA8nXLAjdfuwYzNt7wDq3TKGv9fNwH0AqvocEAKaxvHRRjfQzqC3Cn8WI2F+r4faCj+HbK0wM8FU9SkgY8ysqj6rqp3uj8/jtKuiyBSOWGnhiMbkLGN2RL/d1DATo6CdMBG5QkS2isgOEbktzetBEfmJ+/oLIrLA3b5ARAbdEI/1IvL1QtZzKtvTPsDMIoQiDplRG2LvJA5JPPfcc9m+fTu7d+9GRAI4STFWD9ttNXCT+/xanHVR1N1+g9tOFgJLgTXAWmCpiCxMLdM95nG3DNwyf+U+fx24BEBE3oDTCStsrtdIL2FCBKNdWe3eUjP5w1NN2bsZeCjlZwUeFZEXReSWQr+5MxKWbnFZu3NvTK7SJboBpz31WHsyE6BgKepTMri9A2duyloRWa2qm1N2O5YVTkRuwMnsdr372k5VPatQ9TOOvR39RUlPP6SlJsje9n44pWhVKCifz8edd97J5ZdfDrAFuFtVN4nIZ4B1qroa+DZOeOAOnDvyNwC4+90HbAbiwK2qmgAQkY8Aj+Ckm79bVTe5b/mPwL0i8jngZbdsgL8Dvikif4tz4fhBLfSqh+EeIswhEO/LavdmWyvMlDARuQjnnPW2lM1vU9U2EWkBHhOR19yRteHH3gLcAjBv3rwxvb+qOuFT6RaXtTv3xuQsFtfMKeptZNlMgEKuE3YsgxuAiAxlhUvthF2NkzAAnIxud4otdDKhdrX301w98enph7TUhNg1ydPUr1q1ilWrVgEsHtqmqp9KeR4Grkt3rKp+Hvh8mu0P4iTYGL59F07bG759M/DWMVR/7CK9hNVHINEPmoT0U9COaawO2kiYKUkicgbwLeBKVe0Y2q6qbe6/h0XkFzht76ROmKrehTuXbOXKlWO6+TE0f8WT5hQZsjv3xuQsEk+kDUestEQ3ZoIUMhwxUwa3tPsMywoHsFBEXhaRJ0Xk/6R7g7xlcZvCdrf3MaOY4Yh1IXYdmdydsCkr0kMk6SHgFYiN3rlqrg5O6tBUU57chc5/jrPw+baU7VUiUjP0HLgMSJthMR8yhSKCMxLWNWB37o3JRSRDohtLUW8mSiFHwsbjADBPVTtE5I3AL0Vkhar2pO6Uj7uLU92e9gEuOmV60d5/Rl2IPZN8rbCpKhHuI66C3x+AaD8Eqkfcv7kmyEuvd464jzH5JiI/Bi4EmtwlHD4N+AFU9evAp3BuDn7VDdSIu5kQpwO/cLf5gB+p6sOFqmc0niTgy9AJC/osHNGYHEUTSWo9/pO2Vwa89EWsE2YKr5CdsEwZ3NLt05qaFc6dqxIBUNUXRWQnsAwo+DosU4mq0to5yPTa4oUjTq8JcrgnQiyR+S6vKU/h8AAhjyKBCohmMRJWE6Sty9YKMxNLVW8c5fU/B/48zfZdwJknH1EYme7ag5Oi3tbZMyY3TnbETOuEWSfMFF4hr3rTZnAbtk/arHAi0uwm9kBEFuFkhdtVwLpOSYd7I4T8HioDxRsQ9Xk9NFYHeN3C0CadwUicgFfBF4D46BeIjdUB2vucDrkx5kTReJJAhhtVVUEf3TYSZkxORso2ap0wMxEK1glz53gNZXDbAtw3lBVORK5yd/s20OhmhfsYMJTG/u3AKyKyHidhx4dVNeM6LmZsdrf3M7OuotjVYFZ9BbttXtikMxhLEvQC3iDERu+E+TweplUGONBla4UZM1xkhDlhVUEfXYPRCa6RMeUtU7bRgNdDIqlE43ZD0BRWQYdA0mVwyyYrnKr+DPhZIetmYE97f1FDEYfMqA2x80gfl1K8uWkm/yKxeE6dMIDptUH2dQ4wr7GysJUzpsxkCp0CqLaRMGNyFo3G8L3wVZj/T8DxtiUiVAd99IZjNBYxe7SZ/GwSzhS2u72f5priZUYcMrMuxLZDvcWuhsmzwVjSyYzoDUA8u9GtJktTb0xa0UQi40hYddBHz6CFTxmTi+hgL/6+/TB4ckKo6qAt+2AKzzphU9iu9j5mFHGh5iGz6ivYedjCESebcFydTpgvkPVIWFN10OYHGpPGSIk5KgJeBqMJ4jaf0pisRWMx/CSgv/2k1yoDlnHUFF5WnTAR+bmI/JHIKKutmrKyu32AmfWl0Qnb1d6HkxSztL373e/mN7/5DcmkXeyMZjDhdsI82SXmACdD4t4O64SZsZnM5yonHDH9x/KIUBWyO/em9JRym4zFk3hJQOTkSJzKgK0VZgov20bxVeBPgO0i8gUROaWAdTITIJlU9h0dKImRsNqQDxHhSG+k2FUZ1V/91V/xox/9iKVLl3LbbbexdevWYlepZIXjzgRnvH6IZt8Js3BEMw6T9lwVjSfxe9KPhAHUBP10DVhyDlNySrZNRuNJ/JJw1rEcpjLooydsI2GmsLLqhKnqb1X1vcA5wB7gtyLyrIj8qYicvNKdKXkHesJUh3yE/N5iVwURYV5DJVvLYF7YpZdeyg9/+ENeeuklFixYwKWXXspb3vIWvvOd7xCL2R/sYxIxwhrA7xPwBbMeCWupCbGv0zphZmwm87nKyeSW+ZRdHfLRZeFTpsSUcpuMJhU/cYj2nfRapd9r4Yim4LIeHhaRRuCDOItWvgz8N06jeqwgNTMFtae9n5l1xR8FGzJnWgXbDp38h7AUdXR0cM899/Ctb32Ls88+m49+9KO89NJLvOMd7yh21UpHbJCwt5KAB2ckLMs5YfWVfvqjCQaiFgZixmaynqui8SS+EUbCqoM+ugfsotGUnlJtk7EE+EhA/OQonAoLRzQTIKsU9SLyC+AU4PvAH6vqAfeln4jIukJVzhTOrvb+kghFHDKrvoItB3qKXY1Rvetd72Lr1q28//3v59e//jUzZ84E4Prrr2flypVFrl0JiUeISEXO2RE9Ik6a+qODnDKjpsCVNJPNZD5XxUYZCasKeG2tMFNySrlNRpOCzx+A2Mnnpwq/15Z9MAWX7Tph33TX/DpGRIKqGlFVu/IsQzsP9zG9hDph8xoquW/dvmJXY1R/8Rd/wapVq07YFolECAaDrFtX1td4+ZWIEPGE8Htw1wnLfgHm6TUhXj86YJ0wMxaT9lwVHSE7IjgLNnf220WjKTkl2yZjKvj96cPlKwO29p4pvGzDET+XZttz+ayImVg7Dvcxs66i2NU4Zl5DJTuP9JV8iuVPfvKTJ21785vfXISalLh4hDAhfB7A5896JAygqcbS1Jsxm7Tnqkg8iXeEcMSqoI9OS8xhSk/ObVJEQiKyRkQ2iMgmEfmXQlQslhR8gVDacPnKgI2EmcIbcSRMRGYAs4EKETmb40uK1wKVBa6bKaBd7f28++zZxa7GMSG/l6bqILva+1k2vfRGQA4ePEhbWxuDg4O8/PLLx9Lp9/T0MDBgHYaTxMMMSsgNR8w+MQdAc3WQvR22bpzJ3lQ4V0UTI88Jqwn5aO8r/QyzZmoYZ5uMABerap+bvOMPIvKQqj6fzzrG1IMvEEx7k7Ay6LXsiKbgRgtHvBxnMuUc4Msp23uB/69AdTIFFo4laO+N0FwbLHZVTjC/sZJN+7tLshP2yCOPcM8999Da2srHPvaxY9tramr413/91yLWrETFw4QJEvDiJOZIM/E5k5aaIGv3dhaubmYymvTnKicxR+bgldqQn7bO7G92GFNgY26T6tzlHMrU5XcfeV1INJFUkghefyjt+akqYIluTOGN2AlT1e8C3xWR96jqzyaoTqbA9nYM0FIbHPGEXgxzp1Xyams37zp7TrGrcpKbbrqJm266iZ/97Ge85z3vKXZ1Sl88wiAhgh7cxBzZd8Km14Z43UbCTA7Gc64SkbuBdwKHVfW0NK8LTja3VcAA8EFVfcl97SZgKEb5c249CmKkxZrBGQnr6LdwRFMaxnv9KCJe4EVgCfAVVX1h2Ou3ALcAzJs3L+f6xRJJ/CSQQCXETo5mqbZ1wswEGC0c8X2q+gNggYh8bPjrqvrlNIeZErfzSB+z6ktnPtiQxc3VPLjxwOg7FsEPfvAD3ve+97Fnzx6+/OWTv/apo2MGJxyRINVeyXkkrLkmyP7uMMmk4hkh/MqYIeM8V90D3Al8L8PrVwJL3cf5wNeA80WkAfg0sBLnLv2LIrJaVQsyjBsZJTFHbcjPUeuEmRIx3utHVU0AZ4lIPfALETlNVTemvH4XcBfAypUrcx4liwwt1OyvgPDJTbYqaIk5TOGNNhRS5f5bDdSkeYxIRK4Qka0iskNEbkvzelBEfuK+/oKILBj2+jwR6RORv8/mw5jsbD/Uy8wSyow4ZFFzFa8d6C3J5Bz9/c7ITF9fH729vSc9zDDxCGH8bjhibiNhIb+X6qCPQ73ZJ/MwU96Yz1Wq+hRwdIRdrga+p47ngXoRmYkTbvWYqh51O16PAVeM72NkFoklRoxeqAn56LLEHKZ0jOv6cYiqdgGPk+e2FUsk8ZF0OmHxk9uNMxJm64SZwhotHPEb7r85Z6Zxh5K/ArwDaAXWuncJN6fsdjPQqapLROQG4IvA9Smvfxl4KNf3NiPbfriPOdNKb656ZcBHY3WAbYf6WD6rttjVOcGHPvQhAD796U/nfOzDDz/MRz/6UbZt27YD+JaqfiH1dREJ4tyFfyPQAVyvqnvc1z6B004SwF+r6iPu9itwQqS8qWWKyELgXqARJ5Tj/aoadV/7v8DtOHftN6jqn+T8YbIVDxMmcHyx5kQUNAmSXQjsjNoQezsGSiqDpyld4zlXZWE2kLp+Rqu7LdP2k4w3dAqcO/d1Fd6Mr9eE/PSE4zaCbErCOK8fm4GYqnaJSAXOdeQX81m/aDyJX+Lgq0h7kzDgc85V4ViCkD9zuzNmPLK6IhKRL4lIrYj4ReR3InJERN43ymHnATtUdZd7EXgvzh3FVFcDQzH09wOXuPH3iMg1wG5gU5afxWRpx+E+ZpdgOCLAkuZq1u/rKnY1Mvr4xz9OT08PsViMSy65hObmZn7wgx9k3D+RSHDrrbfy0EMPASwHbhSR5cN2O3YzArgD92Tj7ncDsALnLuBXRcSbcoPjyjRlfhG4wy2r0y0bEVkKfAJ4q6quAP5mvL+LEcUjhJN+JzuieNyOWA7JOWqDvN5hWSdNbsZ4rio4Vb1LVVeq6srm5uYxlREdZbFmr0fcBZsthMqUjjG2yZnA4yLyCrAWZ8T5gXzWyxkJc8MRk+nbTE3QR5cl5zAFlG1mhstUtQdn8vIenImS/zDKMdncJTy2j6rGgW6gUUSqgX8ERryDIiK3iMg6EVl35MiRLD/K1JZMKns6+plVX3rhiACLW6pZu6ej2NXI6NFHH6W2tpYHHniABQsWsGPHDv793/894/5r1qxhyZIlLFq0iDHcjLgauNdd1HI3sAPn5kbaGxzuMRe7ZeCWeY37/C9wJjd3Aqjq4fH8HkYVjxBWNxwRnJDEWG7zwvZYcg6Tu7Gcq0bTBsxN+XmOuy3T9oIYbbFmgNoKP0f7LU29KSk5t0lVfUVVz1bVM1T1NFX9TL4rFY0n8RMHXzBtOCJAdchH16CF+JrCybYTNhS2+EfAT1W1u0D1GXI7zt38vpF2ysfdxammtXOQmpCfysBoqxMUx9KWal7a21XsamQUjzsx4r/5zW+47rrrqKurG3H/trY25s5NvU7L/mYEuYdBNQJdbhnD32sZsExEnhGR591wxrTycnMjESWs3uOdMF8QEtnP8ZpeE2JXu3XCTM4Kca5aDXxAHG8CulX1APAIcJmITBORacBl7raCiMaT+EfJaFtX4ae9zy4aTUmZ6OvHrERTR8ISGTphQUtTbwor2yvxB0TkNWAQ+Es3Xne0K6ps7hIO7dMqIj6gDmdOzPnAtSLyJaAeSIpIWFXvzLK+JoNth3qZO600QxHBSVPf3hehoy9CY3VprWMG8M53vpNTTz2ViooKvva1r3HkyBFCodIcVRzGh5Pd7UKctviUiJzuTno+wXizTgEQjxDRagJDc1O8AYhl3wmbURfid1sOjemtzZSW87lKRH6M0y6aRKQVJ+OhH0BVvw48iJOefgdOivo/dV87KiKfxQmXAviMqo6U4GNcnHDEkUfC6ir8HOm1kTBTUsZy/VhwzkhYDLxBSKbvhFUFfRbeawoqq06Yqt7mdoi6VTUhIv2cHFI13FpgqZsooA1nbsvwRACrgZuA54Brgd+7i/T9n6EdROR2oM86YPmx7XBvSaanH+LxCMum1/Di3k4uWzGj2NU5yRe+8AU+/vGPU1dXh9frpaqqil/96lcZ9589ezb79qUOWuV0M2KkGxnptnfgZG7zuaNhqfu3Ai+oagzYLSLbcDplaymERISw+k4MR8xlrbCaEK93DqCquNNEjRnVWM5VqnrjKK8rcGuG1+4G7h5rfXPhpKgffSTMOmGmlIzx+rHgYgnFr3HwhyCRvqNVFfTaSJgpqFxi0k7FWe8h9ZhM66qgqnER+QhOeIYXuFtVN4nIZ4B1qroa+DbwfRHZgZMi+IacP4HJyWsHSrsTBrBkejVr95RmJwzgtddeY8+ePcdCEwE+8IEPpN333HPPZfv27ezevZtFixYFyOFmhIisBn4kIl8GZuF0mtYAQpobHO4xj7tl3OuWOdRD/CVwI/AdEWnCCU/cNb7fxAjiUSJJL8eSSvkCEB/M+vDqkA+PCJ0DMRqqAoWpo5mscjpXlQtnseZR5oSF/By2pR1M6Sm5NhmNJ/ASd24QqkIyAZ4TsyBWBWytMFNYWXXCROT7wGJgPU6qbHDSXI/YiFT1QZxQjtRtn0p5HgauG6WM27Opo8nOtkO9nLtgWrGrMaJlLTX8esP+Ylcjrfe///3s3LmTs846C6/X+YMtIhk7YT6fjzvvvJPLL78cYAs53Ixw97sP2AzEgVvdBSxJd4PDfct/BO4Vkc8BL7tlw/H5K5tx2vA/qGrhMqDEw0TUkxKOmNuCzQCz6irY3d5HQ1VDASpoJqOxnqvKQTSbkbBKP4d6bCTMlI5SbZOxaBS/JEEEPD5nXpjnxBvUlQEfnbb2nimgbEfCVgLL3bAMU6biiSS72/tLco2wVEtaqtl2uLck1+dYt24dmzdvzilEbtWqVaxatQqcExGQ/c0IVf088Pk020+6weFu34WTPXH4dgU+5j4KLx4hkkxJzOEJQDy3O/Qz6kLsbh/gjfOtE2ayNmnPVdFEEt8o63/VV/jZtL8k8h4YM6Qk22QkFsUnSecHb8DphPlP7ITVhHyW6MYUVLbZETcCpRkbZrK2p6OfxqpAyXVshgv5vcxrqOSV1tK7mDjttNM4ePBgsatR8pLxCHEV/EN/Ybz+nBJzALTUBNl1ZMQEqcYMN2nPVU444sin7PrKgM0JM6WmJNtkLBbDh9sv9PrTZkisCflsyQdTUNmOhDUBm0VkDXDsG6mqVxWkVqYgXjvYy7zG0h4FG7KkpYY1uzs4b2FpjYK0t7ezfPlyzjvvPILB49kbV69eXcRalZ5wNE7Ak5JUwzu2kbCth3oLUDsziU3ac1UskcQ/ykiYpag3Jagk22Q0GsPnGRoJS98Jqw356bD2ZAoo207Y7YWshJkYW/b3MLvEk3IMWeYm5yg1t99+e7GrUBYGo3GCQyc4cOeE5dYJm1lXwcMbbdTR5OT2YlegUGKJ0UfC6ir8dA/GnA7bKPsaM0FuL3YF0onFU0bChuaEDVMT8nHU5oSZAso2Rf2TIjIfWKqqvxWRSpyEAKaMbNzfwznzSjspx5ClLTXc/YfdJJOKZ5S7vxPpggsuYO/evWzfvp1LL72UgYEBEonE6AdOMeF4kqAnZQpAjuuEAcyoDfH60YGS+w6Y0jWZz1VOYo6R24HXI9RXOmnqSz0LrpkaSrVNRqNxfDLUCfNDPP1IWJelqDcFlNWtMhH5C+B+4Bvuptk4Ka9NGdlyoIf5ZRKO2FAVoDLgZVd7f7GrcoJvfvObXHvttXzoQx8CoK2tjWuuuaa4lSpB4ViCwPBOWA4p6gEqAl5qQ37aunI7zkxdk/lcFUtoVqNbTVVBDnRbmzGloVTbZDSe2glLPxJWHfTRF46TSJZUThEziWQbr3Ar8FagB0BVtwMthaqUyb+j/VH6I3Gaa4Kj71wilk6v4aW9pRWS+JWvfIVnnnmG2tpaAJYuXcrhw4eLXKvSMxhLEky91+kNQCz3C8M50yrYcdiSc5isTdpzVTTLEMOG6gAHum2tMFMySrJNRuNxvKmJo9J0wjweoSrkpctCEk2BZNsJi6jqsW+hu+Ce3RooI1sO9LCwqQpPDqnVi21RUzUvvl5anbBgMEggcHzx4Hg8nlO6+qkiEk+eOBLmG1snbEZdyDphJheT8lwVTyRRVbxZhOVOq/RzoMs6YaZklGSbjMUTx0fCvD5IpA87rAv5OdpvnTBTGNl2wp4Ukf8PqBCRdwA/BX5duGqZfNvY1s3chvIIRRyypKW65EbCLrjgAv71X/+VwcFBHnvsMa677jr++I//uNjVKjnhOMfXCAPwBnMORwQnOcc2y5Bosjcpz1XRRJKAL7vT9bTKAPstHNGUjpJsk5FYAm/qnLBE+lT0tRXWCTOFk20n7DbgCPAq8CGcRWI/WahKmfzb0NrFgsaqYlcjJwsaK9nXOUB/JF7sqhzzhS98gebmZk4//XS+8Y1vsGrVKj73uc8Vu1olZzAhBFKTCIwjHNE6YSYHk/Jc5STlyO503VgVYL/NozSloyTbZDQex+8ZeU4YOMk5bNkHUyjZZkdMisgvgV+q6pHCVskUwsa2Hi5cVvQw7Jz4vB7mN1Sxsa2b8xc1Frs6AHg8Hq655hquueYampubi12dkhWOK4HUvy6+3NcJA5jbUMn2w32WIdFkZbKeqyLxJIFsO2HVQVpfs3mqpjSUapuMxpP4hk4pI3TC6ip8HO618F5TGCP+VRfH7SLSDmwFtorIERH51MRUz+RDbzjG4d5wWaYsXtBUyatt3cWuBqrK7bffTlNTE6eccgqnnHIKzc3NfOYznyl21UpSOCEnLiw7hhT14GSnqgx4LUOiGdFkP1flMhLWXBOkrdPaiymuUm+T0XgSX+pIWJoU9QC1FQEO96QPVTRmvEb7q/63OFltzlXVBlVtAM4H3ioif1vw2pm82NjWw8LGqqwmdZeahU3VvFQCyTnuuOMOnnnmGdauXcvRo0c5evQoL7zwAs888wx33HFHsatXcgYTnmHhiGObEwYwr6GK1w5aSKIZ0ZjPVSJyhYhsFZEdInJbmtfvEJH17mObiHSlvJZIeW11nj/TMZF4Ar8vu7/f9RV+BmKJkgrjNlNSSV8/Rk4aCUvf0aqv8HOwx0bCTGGM1gl7P3Cjqu4e2qCqu4D3AR8YrfAsTm5BEfmJ+/oLIrLA3X5eyoltg4i8K6dPZU7walsXC5rKaz7YkEVNVbzaWvyRsO9///v8+Mc/ZuHChce2LVq0iB/84Ad873vfK2LNSlMkKScmEvAFxzQSBjBnWogtB3ryVDMzSY3pXCUiXuArwJXAcuBGEVmeuo+q/q2qnqWqZwH/C/w85eXBoddU9aq8fZphcglHFBGm1wZptdEwU1zjun4stGg8mTInzJtxJKy+0m/hiKZgRvur7lfV9uEb3bhe/0gHZnNyA24GOlV1CXAH8EV3+0ZgpXvSuwL4hpvW1IzB+tfLLynHkNn1FbT3RegJF3fV+lgsRlNT00nbm5ubicWKW7dSFE568A0PR0xEQZM5lzW/sYpXWrvyVzkzGY31XHUesENVd7lptO8Frh5h/xuBH4+rpmMQiSfxZdkJA2ipCbHv6EABa2TMqMZ8/TgRYknl2H1CbwDiGUbCKgMc6bVwRFMYo/1VHyklzGjpYrI5uV0NfNd9fj9wiYiIqg6o6lAsRYgSWFOinG1o7WZRc3l2wjweYUFjFZv3F3ckJHVtsFxem6oGE94TR8I8HjfuPveT2cKmKjYV+f/flLyxnqtmA/tSfm51t51EROYDC4Hfp2wOicg6EXleRK7J9CYicou737ojR3LPTRCJJU8M7x1FU3WAfZ3WCTNFNZ7rx4KLxPV4OKJ3hHDESr91wkzBjDa6dKaIpLv6EZzO0UjSndzOz7SPqsZFpBtoBNpF5HzgbmA+8P6UTtnxSojcAtwCMG/evFGqMzV19kfpGoiWZVKOIfMaK9nY1s2bipghccOGDdTW1p60XVUJhy1UYbjBpO/k8Cl/CGID4M/tuzi9NkTPYIzO/ijTqqzDa9Iaz7kqWzcA96tqImXbfFVtE5FFwO9F5FVV3Tn8QFW9C7gLYOXKlTnfVIwmchsJa64Osbu9P9e3MSafJqJNjlksofiG1rL0+CHSl3a/upCfnnCceI5t0JhsjNgJU1XvSK8Xkqq+AKwQkTcA3xWRh1Q1PGyfcZ3YpoINrV0sbqnGI+WXlGOIE45W3HlhiURi9J2MI5lkUP2Ehi8u6wuNaa0wjwiLmqt5pa2bC5bZsgDmZOM4V7UBc1N+nuNuS+cG4NZh79vm/rtLRJ4AzgZO6oSNVySWyDo7IsDMuhDP7jwpEsyYCTOe60cRmQt8D5iOEwl1l6r+d77qBhBNKIGhoEiPP2OUhscj7rywSFnfzDalqZDd+mxObsf2ced81QEdqTuo6hagDzitYDWdxDbs62JhmSblGFIK4YgmB4kogxI6OXzK546EjcGi5ipe2ns0D5Uz5gRrgaUislBEAjgdrZOyHIrIqcA04LmUbdNEJOg+b8LJBLe5EJWMJpInzrEcxcz6ELs7LBzRlK048Hequhx4E3BrmpwC4xJJgE/ce/fezOuEATRXBznQbYluTP4VshOWzcltNXCT+/xa4Peqqu4xPjgWh38qsKeAdZ20XtzbyeKm6mJXY1xm11fweucA4ZiNRpWFRISwVBAcfh/UFxxzJ2xJSzVr9xR/qQIzubhh7h8BHgG2APep6iYR+YyIpGY7vAG4V1VTIy7eAKwTkQ3A48AXVLUgnTBnTlhuiTna+yL2N9OUJVU9oKovuc97cdpm2rmaYxVJgn/oRqEnAPHM0woaqwO0ddm0A5N/Bcs46M7xGjq5eYG7h05uwDpVXQ18G/i+iOwAjuKc6ADeBtwmIjEgCfxVuiw7ZmSqyobWbq4/t7znywV8HmbXV7D9UB+nz6krdnXMaOJRBgniT9sJG9vdxKUtNXzjyV0kk4qnDNe7M6VLVR8EHhy27VPDfr49zXHPAqcXtHIuJzti9t97r8dJU7+3Y4BTZtQUsGbGFJa7dNHZwAvDto8rJ0A0AYFj2RH9GRNzAEyrDLC/y0bCTP4VdJahqj6oqstUdbGqft7d9im3A4aqhlX1OlVdoqrnuWtIoKrfV9UV7tor56jqLwtZz8nq9aMDBLweGiZBMoN5DZVs2l/89cLG4uGHH+aUU04h1/Xy3Nc+4W7fKiKXp2xPuwafO4r8grv9J+4odOp7vUdEVERWFujjQiJKmMDJ4YjeIETHliygrsJPXYWfrYds0WYz9UTjuc0JA5hVV8GOw+mTDRhTDkSkGvgZ8DeqesKcBFW9S1VXqurK5ubc5wpHknI8MYfXn3GdMIDGqgCttuSDKQBL9TKJrd/XxZLp5R2KOGTOtAo2l+GCvYlEgltvvZWHHnoIclwvz93vBmAFznp5XxUR7yhr8H0RuMMtq9MtG7e8GuCjDLujmHeJCGGCx+8yDhljYo4hp86oYc1umxdmpp5IPIk3xxHgWfUVbD1Yfn8zjQEQET9OB+yHqvrz0fbPVSwp+IfalNc/4pywxuogrTYSZgrAOmGT2Et7O1lU5kk5hsxvLM+1otasWcOSJUtYtGgRua6X526/V1Ujqrob2IGz/l7aNfjcYy52y8At85qU9/ksTietsMHt8SiDBAj6hifmCEJ07Hfml02vsYxvZkqKxpM5j4TNnVZZljeujHHPZd8GtqjqlwvxHpGEHA+Z9wYglvm02FQdpK3TOmEm/6wTNom9uLeTJS2TYyRsXkMlWw/2cuK8+NLX1tbG3LmpSULTLgZ7wnp5wNB6eZkWks20vRHoSllT79h7icg5wFxV/c1odR7vwrIkIgxqkNBJc8JCGddiycbyWbWs2X207L4DxoxXOJ7IKTsiHP+baUwZeivwfuBiEVnvPlbl8w2iKvg97iXwKHPCWmqCtHYO2rnH5J11wiapcCzBjiN9ZZ+efkhdhZ+Az0ObhQTkTEQ8wJeBv8tm//HG2hOPElY/gXSdsHGMhDVVB6nwe9l2yOa5mKklMoaRsBl1IQ73RuiPxEff2ZgSoqp/UFVR1TPc3ABnuQl08lU+saQH/1C0hjcwYjhiVdBHwOfhSF/mjpoxY2GdsElq0/5u5kyrJOgr2nrbebegsZLXDpTXnd3Zs2ezb1/qoFVO6+VlWmsv0/YOoH5oeYeU7TU46+w9ISJ7cNZdWV2w5ByJCIPqJzg8MYd/fJ0wcEbDntlhIYlmaonEcu+EeT3irLFoIYnGnCCeVATF63Gvjzw+SMRBMy/pMLMuxF5be8/kmXXCJqmX9naxuHlyjIINmV1fwZYym2h+7rnnsn37dnbv3k2u6+W5229wsycuBJYCa8iwBp97zONuGbhl/kpVu1W1SVUXqOoC4HngKlVdV5APnYgyqH5CwxfA8FeMKxwR4A0za3l6xxhCJI0pY+FY4viaRjlY0FjJq63lmVXWmEKJxpMEPEkQ9xJYBHwBiGce6ZpeG2JP+9iy+xqTiXXCJqm1e46ypGVyrQ8zr7GKTW3l1Qnz+XzceeedXH755ZB5MdhvA43uenkfA24DUNVNwH3AZuBh4FZVTWRaYNYt6x+Bj7llNbplT6hY1DmRnXTN6Ksc90jYill1rN3dSTyRHFc5xpSTsSTmAJjfVMX6fV35r5AxZSwST+KXJEhKpJAvOOKCzS01QXZbJ8zkWcEWazbFo6q8/HoXq06fWeyq5NW8hkoeeGV/sauRs1WrVrFq1SqAxUPbUheDVdUwcF26Y9319T6fZvtJC8y623fhZE/MSFUvzLLqYzIQiRKSJE6CqxSBynGPhNVV+GmqCfBqWzdnz5s2rrKMKRfOnLDcR8IWNVXxyMaDBaiRMeUrEk84nTBvSifMG3SWUKlIf8yMuhCvWaIbk2c2EjYJtXUNEk8maakJFrsqeTWrPsTB7jCD0cxx26b4wuEoIU+a/6M8zAkDWDGzzuaFmSklMobFmsFJU9/eF6HDEgoYc0w0niQgCSD7kbDZ9bb4uck/64RNQi/u7eSUGTUnj0SUOZ/Hw5xpFWw9ZHejStlAJEowXSfMG4RkDBKxcZW/fFYtT26zeWFm6ojEk/jG0AnzeIRl02t46fWu/FfKmDIViSfxkwBP6kjYyGuFzaqvoK1rkGjcQuFN/lgnbBJat6eTxc2TY32w4eY2VLLFsn2VtIFojKCkOVGJQKAKIuP7/3vDjFo2tvXYiKiZMsKxBEHf2E7XS1qqWbP7aJ5rZEz5isaT+CVxPDEHODcJ45mXwPF7PbTUBNnbYfPCTP5YJ2wSWrvnKEsnWVKOIXOnVbKpzbJ9lbJwNJE+HBEgUA3h8f3/VQS8LGyqYu0eu7A0U8NgLEFgjJ2wU2fW8txOC981Zkgknjh5JMwXgOjIKehn11fYOpUmr6wTNsn0ReLs6ehn0SRLTz9kfmMlG/fbSFgpG4jECHozhGzkYSQMnJDEp7fbhaUZPxG5QkS2isgOEbktzesfFJEjIrLeffx5yms3ich293HT8GPzJRxLEhhDOCLAkuZqdh7ppzc8vjBgYyaLSCyJX+InZ0eMZR4JA5g9rcIicUxeFbQTlsXJLSgiP3Fff0FEFrjb3yEiL4rIq+6/FxeynpPJ+te7WNxcPaZJ3FlLJqDvMEQnfm7W/IYqth3qJZnUCX9vk52BWJKAZPj/8VeNeyQM4PTZdTxl88LMOImIF/gKcCWwHLhRRJan2fUnqnqW+/iWe2wD8GngfJyMpJ8WkYKk7AyPYyQs4POwpKXaRo6NcUUSSQLEh80JGzkcEZwMzRv3WySOyZ+CXalneXK7GehU1SXAHcAX3e3twB+r6uk4C85+v1D1nGzW7TnKkpYCzQeL9sILX4d7b4TffAzu+yCsvhV2PwlMTKeoOuSjNuRjj8Vll6xwLEHQm+H7EKiCwc5xv8ei5ipauwZot6xvZnzOA3ao6i5VjQL3AldneezlwGOqelRVO4HHgCsKUcnxzAkDWD6zlqe22cixMeCMhPkYPhLmh+jI1xXzGirZamnqTR4VciQsm5Pb1cB33ef3A5eIiKjqy6o6tCDUJqBCRCZXvvUCeW5XB8umF2A+2NHd8KuPQP8RePP/gws+Dhf/Myy8CNb/CB7957yMcGRjQVMVmywksWQNRBMEM/1lCVTnpRPm83g4bZalqjfjNhvYl/Jzq7ttuPeIyCsicr+IzM3xWETkFhFZJyLrjhzJfQQ3Ek+OeSQM4LTZdTy93UaOjQGIJpL4TxoJG30Jlem1IboGYnQPWmivyY9CdsKyOUEd20dV40A30Dhsn/cAL6nqSbe8x3tim2xiiSSvtnXnvxPWuRse/SdYfCksvxoq6pztHg80L4PzPwzBWnjgb6G38Ispz2uo5NVWCwkoVQOxJP5MI2HBahjoyMv7rJhVy+OvHc5LWcaM4NfAAlU9A2e067uj7H8SVb1LVVeq6srm5uacKxCJja8TtqipiiO9EQ52Z07BbcxUEYkl8OmwTpi/YtSRMI8ICxorec3mhZk8KenEHCKyAidE8UPpXh/viW2y2bS/h5baINVBX/4KHTwKj30all0Js85Mv4/HC6dcAfPfAg9+HLrb8vf+aSxsqmZ9a1dB38OMXTiuBL0Z1qgL1sJAfuamnDGnnqe2t9v8QDMebcDclJ/nuNuOUdWOlJuA3wLemO2x+RBLJEGc0d+x8niEM+bU8eQ2u2lhjLNO2LBOmC80aicMnJvAm60TZvKkkJ2wbE5Qx/YRER9QB3S4P88BfgF8QFV3FrCek8bzuzo4JZ+jYMkEPP5vMOvszB2wVHPPgyUXwyOfgL5D+avHMIuaqti8v8cuvktUfwwCmf6yhGrzNhI2vTZEZcBrJ0QzHmuBpSKyUEQCwA3A6tQdRGRmyo9XAVvc548Al4nINDchx2XutrwaTDcfbOPP4PmvgWa/cOxps+v57RbrhBkTjSfxETtxTpg/BJHR08/PbajkVVsmx+RJITtho57c3J+H0vpeC/xeVVVE6oHfALep6jMFrOOk8tzODt4wozZ/Bb5yHyRjsOii7I+ZvdIZEXv0kwWbI1Zb4acq6LXkHCVqIA5BX6aRsLq8dcLAyZL4+Fa7sDRj44bBfwSn87QFuE9VN4nIZ0TkKne3vxaRTSKyAfhr4IPusUeBz+Kc69YCn3G35VU4OqwT1nfI+du8/yXY90LW5Zw5p47ndnYQjWffcTNmMorEkyeHI/oqRp0TBjC/sYpNbXbjz+RHwTphWZ7cvg00isgO4GPAUBr7jwBLgE+lrM3SUqi6TgaJpPLS652cOjNPnbCjO2HLr2DFe5y5X7mY/xZoOgV+ezvECzMHYXFzNev3dRWkbDM+vTEPFZk6Yf6Qc/c+i5NdNs6aW89vNxdu1NVMfqr6oKouU9XFqvp5d9unVHW1+/wTqrpCVc9U1YtU9bWUY+9W1SXu4zuFqF84ljyxE7b7aZhxGsx/G2x9MOty6isDzK6vYM1uS1VvprZI3J0TljoSFqjM6rw0r6GSPR39djPD5EVB54RlcXILq+p17gnsPFXd5W7/nKpWpazLcpaq2u3uEWza3820ygB1Ff7xF5ZMwB/+C5ZddjwJR66WvsNJwvDkl0AT46/TMIuaqnlx7/iz7Jn86014CWXqhIlARQP05SeRzhtm1rLjcB8dlqreTFJOOGLKxeLBV6FhEbS8AQ5tzulG15lz63hs88EC1NKY8jEQTRAkcuINZl9FVuGIAZ+HltogO4/k50aimdpKOjGHyd6zOztYPitPo2Cv/RrEA7PeOPq+mYjA8nc5oWdrvpmfeqVYOt06YaWqP+Gjwj/Cn5aK+rzNGfR7PZw+p54ntlp2VDM5hWMJAsfak0LHdqib64wq1812OmVZeuP8Bh7bfAhVm09rpq7BaIKgRkBSkpj5gs70i0R01OPnN1SxxeYimzywTtgk8Yft7fmZDzbQAet/DG+4yulIjYfXB2f9CbSuhc2/Gn/dUixsqmJPRz/9kXheyzXj15/wj9IJm5bXxC1nza3n4U12d99MToOxBAGv254GjjqRCiE3QmHawpw6YXOnVaDAlgO24KyZuvojMYLEThwJE4FAFURGbxtzplXYWqUmL6wTNglE4gleer2T5fmYD7b2WzD3XKjOU8p/fwWc/X545SfQuiY/ZeKMgCxuttGwUtSb9BMaqRMWmgY9+VtP7ux59Ty7s51wLP9hr8YU2wnZEbv3Qc304zfIpi2EAxuyLktEeOP8aTy08UABampMeRiMxAh40pwvAtUQ7hr1+PmNlWy0DIkmD6wTNgm8uLeTOdMqqQ6Nc32wg6/CwY2w8MJ8VOu4ygY480Z4+svQ9Xreij1leg3P7cxfpj2THwNJP5X+Eb6LVU3Qk7/llGpDfhY1VfP09va8lWlMqYjEEviHRsK6W6Eq5QZZ/Rznb2oO88LOXdDAg69aJ8xMXQORGEFJk1gjWJ1VVud5DVVsPdhrYb1m3KwTNgk8va2dFeOdD5aMw3NfcRZd9gXyU7FU0+bDsivgd5/JakHEbJw6s5Znd9qFd6np1wAhvzfzDpWNee2EAZwzbxq/eSV/o2vGlIoTR8JancQ2Q7wBqJ0F7duzLm9JSzVdAzF2HLbEAqY0icjdInJYRDYWovzBWIKgJ00nLFANg6N3wqZV+lHgcK8lhDLjY52wSeD3rx3mjDljzGI4ZMuvIVAB00/LT6XSmX2O0xl79n+B8d9BOmV6DdsO9dETjo2/biYvVJV+DVIRHGEkrLIBBjuzmgCdrfMWNvC71w4TiVtIoplcwrHk8ZGwnjZnJDlV/Tw4tCnr8jwinLewwW5amFJ2D3BFoQofjMYJetJcgwSqIDz6FAcRYUFjJZstOYcZJ+uElblDPWH2dw+ytKVm7IUMtMOGe+GUd44/GcdoTlkFHTtg5+PjLirg83DqjBqe3VHao2EPP/wwp5xyCiKyQ0RuG/66iARF5Cfu6y+IyIKU1z7hbt8qIpenbL/C3XZCme7i6C+423/iLpSOiHxMRDaLyCsi8jsRmV+IzxqJJ/GSxOcbYakEj9e5m5/HeWENVQHmNVTy9LbS/i4Yk6vBaILA0EhY70EnsU2q+vlw8JWcyjx/YSOrN1gnzJQmVX0KKNiCdoOxBEFvupGwKujPborD3IZKNu+3eWFmfKwTVuYef+0wZ8yuw+sZR+fp+a/BvPPzl4xjJF4/nH6dk7Z+YPzzuU6bXcfvtpTuEnKJRIJbb72Vhx56CGA5cKOILB+2281Ap6ouAe4Avgjg7ncDsALnruBXRcQrIl7gK8CVacr8InCHW1anWzbAy8BKVT0DuB/4UiE+b384RgURJzPmSKpbnCQDeXTewgZ+/nJrXss0ptjC8aHsiAr9R07uhE1bAO3bnKyJWVo6vZrecJzXDtqdfDP1DMaS6eeEBWphMLvrknkNlbzaZu3HjI91wsrcI5sOcta8aaPvmMneZ+DoLlh4Qf4qNZramU4Gxue/Pu6izpk3jd+9dphksjQnyK5Zs4YlS5awaNEiVDUK3AtcPWy3q4Hvus/vBy4REXG336uqEVXdDewAznMfO1R1V2qZ7jEXu2XglnkNgKo+rqoD7vbngTkF+Lj0DfRTIVFnnbmRVDVB1968vvebFzXy5NYj9Fp4qplE+iNx/D6PE8Lrq3DWM0oVqHRCfDt2ZF2mR4Q3L27kFy/ld26mMRNFRG4RkXUisu7IkdzWiQzHkgS8aa4ZQrXQn100xYLGKjZbmnozTtYJK2MD0Tgv7D7KWXPrx1bAYCc8/1VY8W5nhGoiLbwAOrZB27pxFTOjLkRNyMfL+0ozVX1bWxtz585N3dQKzB6222xgH4CqxoFuoDF1+7BjM21vBLrcMjK9FzijYw+N4eOMqq9/wOmEjaZqOhzdk9f3rgn5OW12HQ+8YpnfzOTRG45TGfA6oYiVDel3mrYQDqzPqdy3Lm7iFy+3kSjRG1jGjERV71LVlaq6srk5tyiewbgSSnf1G6x11uLLwqz6Cg73hm2tUjMu1gkrY09uPcKy6TVUj5QEIRNNwtP/CbPOdpJlTDSvH079I3jua+NO0LBy/jR+vcEuvLMhIu8DVgL/PsI+Y77D2D8wQKVkMRJV3ZL3kTCAC09p5gfP579cY4qlNxynwu91QhFDGRIwNS6B1rU5lTu3oZLakN8yzJopRVWJxJVAugS+oToYPEo2icO8HmFegyXnMONjnbAy9usN+1k5f4yhiBt+7KyHsfiS/FYqF82nQuU02Lx6XMW8eXETv3nlQEne0Z09ezb79p0w92kOMDwGqA2YCyAiPqAO6EjdPuzYTNs7gHq3jJPeS0QuBf4JuEpVM+bWHc8dxr7+QULpFsEcrqrZuajMY4ZEgDNm19PeF+Hl10tzZNSYXPVFYk4nrG+ETljDQji6G6K9OZX9tqVN3Lsmv3MzjRkvEfkx8Bxwioi0isjNox2TrWgiiQj4fGl6Yb6As+xDOLuO1aLmata/3pWvqpkpyDphZWogGuep7e2cuyBDeMpIdj0OWx+CM25wMtUV07JV8OpPndDIMZpdX0Fdhb8kF24+99xz2b59O7t378bNVHgDMLzXuRq4yX1+LfB7dVaBXA3c4GZPXAgsBdYAa4GlbibEY2W6xzzuloFb5q8ARORs4Bs4HbCCZTLpHQxTIVmEZ3h9znpheU7O4fEIl6+YwV1P7cprucYUS284TkXAC32HMnfCvAFoWgKvr8mp7LcubuLJbUfoGsjvzRBjxkNVb1TVmarqV9U5qvrtfJUdjiYJesl87VMxDfqzO0Uubq5m3d6CJXE0U0BBO2GZ0minvJ42NbeINIrI4yLSJyJ3FrKO5eqxzYdYNr2a2ooc53LtfQZeuAvO+QCExpHWPl+qm5z1w168Z1zFvG1pE/eufT0/dcojn8/HnXfeyeWXXw6wBbhPVTeJyGdE5Cp3t28DjSKyA/gYcBuAqm4C7gM2Aw8Dt6pqwp3z9RHgkdQy3bL+EfiYW1ajWzY44YfVwE9FZL2IjG/4MYOu/ghV3iwTY9TMgM4ChCQua+G5nR22GK3JShbnqYzLO4hIwm1PBWtTfUPhiH2HIFSfeceWFbDz9zmVXR3ycfa8en5uCTrMFDEQixPyKkiGaRyheidKIwtLmqt52UbCzDgUrBM2ShrtIWlTcwNh4J+Bvy9U/crdz15s5U2LGnM76LXfwHN3wjk3ORfApWLRRdC6xkmzPEZvWdzIE1uP0Nlfend0V61axbZt21DVxar6eQBV/ZSqrnafh1X1OlVdoqrnqeqxYRxV/bx73Cmq+lDK9gdVdVlqme72XW4ZS9wyI+72S1V1uqqe5T6uogC6BiJUebNMlV3V4mTmzLOKgJcrTpvBfz66Ne9lm8kly/PUSMs7DBa6TfVHE85IWLr09KmmL4eO7dCX20D3hcuceZTOQLoxk9tgNEHIo5mXUQnVZd2GptcGSSSVPe39eayhmUoKORKWNo32sH3SpuZW1X5V/QNOZ8wMc7gnzEuvd2UfihgbgKf+Azb9HM69BepmFbaCufKHYMk74LmvgGa/1k2qmpCfc+ZP4/4XbX5DMXUOxLLvhNXMLEgnDODyFTNYs/so6/d1FaR8M2mMep6aqOUdMumPuCNhA+2ZwxHBCUmcdQ5syW1A7g0za4kmkqzZbWFVZvIbiCYIehUkQzhiqM7JRJoFEeGMOXU8tT23BFbGDClkJyxTGu20+wxLzW1G8POX2zhv4TRC/izmcx18BX51K8T64fy/hKoS/fXOPsfJ2Pjag2Mu4uJTWvje83tLds2wqeDoQJxqX5pFMNOpmQmdu8kmE1WuQn4v73njHD69epN9H8xIsjlPpRq+vEPIzST6vIhck+mg8WQc7YvEqSDsLMbsrxh55/lvge2P5jTHVkS4+NQWvvvcnpzqZUw5CscSzkLNngwjYRUN0JN9tuXTZ9fx2OZDeaqdmWrKOjHHeE5s5UpV+dELr3PBspaRd0xE4YWvw5NfglOuhBXvcjL/lCrxwPKr4eUfQO/Y0s0vm15NwOvhSbsrVTSd4STVviw7PaFa58JyoDAJVS5Y1sxAJM7PXmotSPlmasmwvMN8VV0J/AnwXyKyON2xY804mkwq4ViCUPSoE4ooMvIBFfUw+405z7F9+9JmntrWzuEeCz4xk1t/NEHQk8i8NmplA/RlNxIGcPa8aazf10Vb12CeamimkkJ2wjKl0U67z7DU3FkZTyrtcvXcrg5EYGlLdeadeg/AA3/rJD1480ecVPDloLrFWcT5qX+HZO4LIIoI71g+nW8/bZnxiqU7olT7s+yEiUDdXOjYWZC6eET44FsW8G8PvcbREpwraEpCNuepjMs7qGqb++8u4Ang7HxWbiCWIOjz4hk4AqEslyNZdBG0vZjT4s1VQR9vXtzID18oveRGxuRT92CMSm88c3bEymnOchBZRmiE/F7etqSJrz9RmPOYmdwK2QlLm0Z72D6ZUnObDO55Zg8Xn9qCZLojemQrPPj3MPN0OPMGCFRObAXHa8FbAA+su3tMh795UROb9vew7VBu6+WY/OiKCtW5JOysnel8ZwtkUXM1b17UyGd+vblg72HK2qjnqUzLO4jINBEJus+bgLfiZDLNm75wnMqg10kUUDHCfLBU/hAsvwb+cAdEs88Q+o43TOcHz+8lEh/bvFxjykH3YIwqiWXOjugLgS8IA9nPkXzX2bN5aOMBm5NuclawTlimNNrZpOYGEJE9wJeBD7qL9Q3PWDXltHUN8vyuDv7Pkgyjfgdfhd/e7oT1zXvL6KErpUg8cPq1sPdZ2PpwzocHfB4ufcN0WyeqSLqjHqoDOXzv6ubB4S2FqxBw7Rvn8Nyudh7fWrDl0UyZyvI8lWl5hzcA60RkA876fF9Q1fx2wiIxKgNe6B1hjbB0mpdB0zIn2VGW5jZUMrehkl+t3z+GmhpTHnoGY1RKLHM4IkBVE/Rkv2xDTcjPxy8/lf98dBt/f98Gu5FhslbQOWHp0mjnkJp7gao2qGq1u1jflL+V/Z1ndvP2Zc1OuuLhOrbD4/8Kp19XPuGHmQQqnXXMXv4uvP5szodfunw6D288yOFem98wkZJJpS/upSqQw5+V+nnQsW1M4afZCvm9/PnbFnHb/a/QPZjlGmZmysjiPJV2eQdVfVZVT1fVM91/87ag7JDeoTXCeg9mH444ZNkVzijz7iezPuSPTp/J1x7faclszKTVNRCl0hPJnKIenE5Yd25ziec2VPKv7zqd1q4Bbvnei9aGTFbKOjHHVNI9GOO+tfu4bHma9b36DsNv/wXecBU0LZn4yhVCVROc/QF45n+hdW1Oh9aG/Lx1SSPf+cOewtTNpNUbiRPyxPGOlsEtVaASKpvhyGuFqxhw2uw6zppXzz//cmNB38eYfOoJx6kK+KD/kJN0Ixdev3NT7vmvO+nts7BiVi0Bn4cHN44tOZIxpa5zIEYVYWdJh0wqm6A799DCkN/LrRctob0vwjdtbrrJgnXCysT3nt3D2fOm0VwTPPGFRAR+/1mY92aYsaI4lSuUutlw9vvg6f90Jprn4MrTZvKjNa/TG7aRj4lypDdCvTfsxNPnonkZ7H2uMJVKccO583hxbycPvmoXmKY8tPdGqAn53DlhWa4LmapuNsw9D575b7JJNCAivPuc2fzHI1uJJbJcasKYMtI9GKWKwZHDEatb4OieMZXv83j487ct4qtP7ORgt0XjmJFZJ6wM9IZj3P3Mbq46M80iy8991ZkrsOBtE1+xiVA/F856r5Mxcf9LWR82vTbEGXPq+MHzewtYOZPqUE+YBs+AkxggFzPOgN1POMsqFFDI7+XDFyzik7/caKm4TVno6I9QG8BpG8ERMuKOZOEFTidu26NZ7X767DrqKwPc88zusb2fMSWsayBGlQ6MPBJWPQM69zDWNSxn1IW4YFkzd/x225iON1OHdcLKwF1P7eKMOfXMqh8W5rXzcScZx/KryzMJR7amzYczb3TWPDuUfTjZH58xi28+vZvBqE2SnQgHusM0SC94c+yEVbdA7Wx49WeFqViKJS01XHRKM3933wYsEaspdYd7I9Qw4IRnj/VvvNcHp70HXvxOVusfiQgfeNN87nx8JzuPZJ9d0Zhy0DMYp0r7Ru6EhWoBhf7swnjT+eMzZvHwxoPsbu8fcxlm8rNOWIk73BPmu8/u4T3nzD7xhd79sOYbcMb1uYd/laOGhXD6/4Xffx6O7sjqkLkNlSybXs33n99T2LoZwBkJq9eesX0fT30nbP2Ns8hsgUfErjl7Nod6w3zH7vSbEnekN0Kd9kBF4/gKqpkBC94OT34xqyQ4M+sruP7cufzZPWstwZGZVHrCMaqS/eAZIRxxaA3L9rGPZFWHfFx52gy++FBh5zub8madsBL3bw+9xkWnttBckzK6kIw7o0KLLnTWWZoqmpY4yUceuz3r9LHvOnsOX39yF32RwmXfM462zkHqk51jW5uuoh7e9JdwZIuz0Phg9mu05Mrn8fBXFy7hf363g3V7Cvc+xoxXe2+E2lj72OaDDTe0BuOL381q94tOaeH8hY1c85VneHbn2EcEjCklTicsi5uF9XOdSKNxuOK0Gbz0eqe1H5ORdcJK2JrdR/nD9iNcfeawUbCXfwjidZJxTDUzVsDii+DRT2Z1oT6voZIVs2r5pq0bVnAHugZo1E5nscuxCNbAmX8CjYvhd58paNr66bUhPnTBIm75/otsbOsu2PsYMx4d/VHqwvuckN3xEo+TLXH3U7Dz91kd8q6zZ3PjefP425+s56a717D9UO/462FMkSSSymA0QWW8a/TzVMNi2P/yuN4v6PNy05sX8Hf3baB7wJKEmZNZJ6xEhWMJPn7/Bt73pgUnrgt28FXY/jCc9u7JPQ9sJHPOhZlnwyP/BNHRLwquPWcO9zy7h0OWjKGgDnb1My0QH9/3UgQWX+L8u2X16PuPw1lzp/GBN83nvd96gf/+7TZ2HumztV1MSenoi1LXvyc/nTBwRqnPfh+s+WbWGWdXzm/g3689k3kNlVz79ee4+w+7bT6lKUuHe8PUVwbwxAdHHwmrnQ2RHmfqxzicM38ab5w/jT//3lqbn25OYp2wEvVvD25hVn0F5y1MCUMJdztZAle8yxk1mMoWXeAk7Hj0UxAbGHHXltoQF53SwmcfmPLrfReMqtLaFaY5kIfRKxE45Y/glfuy6mSPx/mLGvn0Hy/n1bZu/uSbz7Pi049w3def5b61+4hbim5TRKpK50CU2v69UNWcv4JrpsNZf+KcS7LsiPm9HladPpN/uWoF331uD//y683WETNlp7VzkOk1AUjERk7MAeDxQMtpsDP7xc4zufHceVQFfLzv2y/YiJg5gXXCStBDrx7g4U0H+dO3Ljy+URPw9H/A9BXQfGrxKlcqRGDZlVAxDR4bvSN29VmzWLvnKI9vPTxBFZxaDvaE8YlSVznCZOdcVLc43/ONP89PeSOYWVfBzW9bxH9dfzZ3/snZXLCshe8/v5dV//M0rx3sKfj7G5PO/u4wdUHBXzUNfKNcMOZq2nx36Y//gN3ZX2ROrw3xyT9azrM72/nkLzfayLEpK/uODtBU6QV/ZXYRG7PfCNsedDpt4+DxCH/x9kXMrAtxzVefYW+HZUw0DuuElZiXXu/kE794lb++eCnVQV/KCz+AwW5YelnxKldqRGD5VRCshUf+P2ekMIOQ38tf/J9FfPynr3CkNzKBlZwath7sZW5VHAK1+St08UXw2oMw2JW/MkdRGfDxxvnT+MSVp3LxqS1c/43n+eHze+2uv5lw2w/1Mrci7Cy4XAjT5sPKP3VCEzfcS7ZrIlUHffzjFafy4t5O/uYn6y3EypSNfUcHaAomIVCV3QF1s6BqOrz263G/t0eE954/n4tOaeaarzzDb145YOcVY52wUvL09iP82T1rueX/LGJRc8rCnNsfdSZSn3kDeLyZC5iKxOOsk1Y7x8mq17kn464rZtXx9mVNfOj76wjH7MIhn7Ye7GVOoD+/YbIV02D22fDi3fkrM0siwgXLWvjndy7n7md2875vvWBJCcyE2nG4j5nJw1A3p3BvUjMDzv+ws1j64/8G0ezWBasM+LjtylPpGYxx8X8+wR2PbeWBV/bz4t6jDEQtE60pTa8fHaAxEM0tg++pq5zQ+HEm6RjyjuUz+NtLl/GFh7bw7q8+y0/X7bP56lOYdcJKwNH+KP/8y438zb3r+euLl3L2vGnHX9z1hLN20jk3QbA6UxFTmwgsuwwWXgAP3wabf+WEb6bx7nPmUBHwccv31tkd3Dza0NrFHA5DZR5SaadadDHs3wC7Hs9vuVmaXV/B7VetYGFzFdd9/Tk+8O0X+OXLbXQNFHYtM2NeO9jDrMFt0LiksG8UqoVz/wI0Cb/8S+emX3z0i8Kgz8uHLljMX124mN3tA/zwhdf5xM9fZeXnfss//uwVDtuFpSkxrx8doMXT50TPZKuqCc680Vljb9cTeanH0uk1/Nu7z+CCZc387KU2Lv3yk1zw74/zn49u5Wi/nVumEpksw6ErV67UdevWFbsaOdnfNcg3n97F/S+28pbFjbznnDnUhIbm1Ci8ej9s/qXTAauZUcyqlo++I04nLBlz5jzMe/NJo4fxZJJv/2E3B7vD/O+NZ7N0+oQlOSm7dJbZtKtYIskbP/sY/1b9UxpOfZsT5pRPvQfhpe86GTFrZ0I8Ag2LYP5bRp9cnUeReIIXdh1l3d6jbGzrYfa0ClbMrGVhUxVNNUGmVQaYVuWnuTpIS22I2pAPmaoZTCdO2f2Csz1XXfnvD/N/o7/g1AtvmIBauTr3OnPEju6GaQuheSnMON1pe/6KrIroGYzxm1cP8NS2I9x60eKTMvwORSGE/BbVUaImZZuKJZKc89nH+NJpbdR3bYI3vDO3N+k5ABt+7MxXXnalkxxM8jOOkVRld3s/T247wtrdR/l/Fy/h/W9eQMBn4ySTSNp2VdBOmIhcAfw34AW+papfGPZ6EPge8EagA7heVfe4r30CuBlIAH+tqo+M9F7l1AnbdqiXrz2xk99tOcTblzVzxYoZNFanpEvtboXnv+rMhTnzBmchW5M9VTj8Gux92vkdLngbzD0PWpYfWxtEVfn9a4f56Yv7uOas2Xz4wsXMrMvuIiNXDz/8MB/96EfZtm3bTvLUDjK1LRFZCNwLNAIvAu9X1ehI7zGSbNrVH7a385lfb+Rfej4NF31i9NS/YxEdgAPrIdYP4oeu3c4cyXPeDzPPBK/fnWw9MRd28USSvUcHeP3oAEd6I/SGY/RHEvSGY3QNxujsjxJLKPWVfuor/bTUhFjUXMVps+o4e149i5ur8XjK7lqnFOXll1hq56p9Rwd4538+wp2nvoJv0dvH9qHGIxZ2zkM9rdC5G7panaVBllzidMqyuPnR1jXIT9ftY9P+HpY0VxNNJmnrHGQwmkBRWmpCvGP5dN5zzhxOm11rNyxKR0n8R4zWJlNl06bW7jnKbT97hc+1PO58f+e/JfdKJeJw5DXY8zTUzIS3/71z3smjts5BfrTmdV4/2s9blzQxr6GSuQ2VnLuggYVNWc5lM6VoYjthIuIFtgHvAFqBtcCNqro5ZZ+/As5Q1Q+LyA3Au1T1ehFZDvwYOA+YBfwWWKaaIcaM0u+EdfRFeGLrEX764j62HuzlsuUzuHT5dCf5hiah/7DTcdj9BBzaAgvf7vyRsDlg49N3GA5tgo4dzkVF/VxoOgUaFkLdXLq8jTywI8JTOzo4a249V542k/MWTmNBYxU+7/jvQiUSCZYtW8Zjjz3G4sWLg+ShHbiHpW1bInIf8HNVvVdEvg5sUNWvZXqP0eo/WrtKJpV3f+1Zzq3r5uIj34fzbsn5dzRm7dth77PQs98Z+dSkc4E46xwn5n+w2wmrClQ6a740LXPmmU2QaDxJTzhGbzhOZ3+UA91h9h7tZ/uhPgaicc6aW895Cxs4Z/40Tp9dlzIKbnIw7gvGUjxX3XH/42ze8Dx/dsmZWY9AFVS0Hw5sgEMbnfZWN8dpU5WNTjijv9K5sPX4nIe/wgmfD9bSoxXs7xe8Xh/NNUHqKvwoTrrwNbs7eG5nB5F4ksUt1dRX+An6PFSHfM7IcmWAukpndHl6bYjZ0yqoq7B2UmBF74Rl0yZTZdOmbl+9ic6BKDcc+BIsuQwaFoy9gok4bP2Ns25rxTTn3DP9NGf91rq5zj7JhDPH0l8xpoiN/V2DvHawl6P9EY70Rti0v4dplQEueUMLi5qr6A3H2XG4j6MDUVqqg5y7sIE3LWpkeu3xRaiTSaU3EicST1Dh91IdtOiMIprwTtibgdtV9XL3508AqOq/pezziLvPcyLiAw4CzcBtqfum7pfp/UZrhGv3HOW1g72oKvGEEk8micSSDMQSDEYThGMJookkKHj79hNK9FHhVSo8CUKeOH5i+JNRPIkwEuuHSD8a7UUj/cSjg0TVy6AG6aOCHirp1BoOaz1t2kQHdQA00cWbPJs5V7bikzSTl4O1TihX4xLwTFyY1ZSRjDmdsv4jMHgUBjsh6fw/hDXAS7qM9bqENj2+Jo+g1PuiTPPHaQomaAoq00JKXQCq/ELQC34PeELVNC9ZyWUrZp4wwvHcc89x++2388gjQwNY428H7mEntS3gC8ARYIaqxlPbYKb30FH+AIzUrjbs6+JP71lLJJbgE94fIo2LofmUkf8PCikega49TvhiIg7+kHNBmIzCQCfEB539qmc6ISW+ICDg9TkXkb6gM4oa7na+I9Fepx2G6iFQ4bwGzn7+KvAHnfJb3gAVjTlVtWsgxrbDvWw/1Me2Q73E3VTfAgR8HmKJJJmyf1f4vdRW+Kir8NNQFaShyk9VwIfXI0QTSQYiCQaicSLxJF6PUBnwUhPyU1fhpybkoyroI+D14PMKHhFEQAp03aVuxj1VJ/deMqnEEkki8STReJJoIokqeMT53EGfF79X8Hs9eDyC3yP80RkzR+qg5qMTVjrnqr4jvPbzz3LF5sv56OyttLTMHO/Hy79EFAbaIdzjjEzHw057S8bd/+iE0xbjEWC0tfYE9VXQ7mvhgExn0FND1BsiTIi+pJ/+hJe+uJfumIeeuO+EIyu9CWp8CSq8SQIeJehRKrxJgh4l6FUCHifBTkw9dMd8HI54OTToYSDh3FzzidIYTDKzMsnsygQtoSTTAkkqvUlASSQhmlCiiSTxlPYoHsErQsDnIeAVAl7wewQJViMzTkM8noK1p+GG2ldSj7etWEKJxpMkVRFx1ngLeD34vYLX60GANy1qZElLxjnmRb9Kz6ZNphrt+u9LD7/GV5/Yyd+v9DFt/dfgtGvzEzUR64fYoDMvvWMXdO7C+fWl+eNd3QI1s5yXYv0Q6XXajsfnZGsM1TkdumCdc+6afQ74jt+AUWD7oT5ebeuioz9KyO9lRm2ImpCPzv4orx3qpaNv9PlkAa+HZdOrmd9YRX2ln4DPg6ozTSOeUBJJxecVKvw+qkM+Qn7n+xyNJxmIxemPxBmIJBiMJYgllIBPqA76qK8MUBvyEfJ78XqEpDo3IqPxJAlVPAI+99ookYSE6rHzXdDnOfY3f+jLN3S+iMaT9Eed9w3HkihKyOelOuSjMuAl6PMeOy7f5zJFSSok3HYViTufmWH19nqEuQ2VXLBsxPUc01bMl25jnswG9qX83Aqcn2kf96KxGyeMajbw/LBjT8rTKyK3AEO33vtEZGumyvhbFp4hHm9RbqEJSkBjehTYNNgn36usPt5Mdeif0hMb7MNfUR7JQMZT16GWIfLCsUaiQBwfCTzsz6Gs6JE9r5CIpy4qMg2oFZG9wMPAD8lPO0jXthqBLlWNp9k/03u0D/8M2bYrb03TTG9V/SyNx8J/5dWg8hRQ2t8b5291frJcAUQH+vCEquOxJONcgVPA4w2IJ2XoW1VVNelc2Qoi4kHyNAkhR4mBbryVdcV4a+Ldh3clB3s6M7z8sKpeMc63KJlzVV2QmjkNoWUduppPpblBUsptazRy4g9juh8fHejDW1lLHC86jostQVGEfcD6MZcysfLZBpPhvo5418E9GV7OR5sar1HbZNbXfyIef/PC00XE+/HvxBJ+D76kvqyFaEtuR0AAVI/dtsMzhp5BNEE0NtAnnorqHNKNCoh4EfGgJNFk8vjdQ0C8XvF6A3tzrUwGxTwvZGOi6xc9tPNlVDPdeUrbrgrZCSs4Vb0LuKvY9ciFiKwb7O5YWex6ZENE1oWtruMiItcCV6jqn7s/v7/IVRrVeNtVqf5fFIKIrNMp8FlFZF28+/Ck/5yFkq9z1VRqW+lMlfaWjrXBE02F85SIrIv3lW4dS/07Wer1g8KmqG8D5qb8PMfdlnYfN8SjDmfSczbHGlMOCtEOMm3vAOrdMoa/V6b3MGaqs3OVMaXF2pWZEgrZCVsLLBWRhSISAG4AVg/bZzVwk/v8WuD37hyV1cANIhJ0s70tBdYUsK7GFEoh2kHaMt1jHnfLwC3zV6O8hzFTnZ2rjCkt2bRJY8pewcIR3bj5jwCP4KQYvVtVN4nIZ4B1qroa+DbwfRHZARzFaWi4+90HbAbiwK0jZZsqM+UUPml1HadCtYN0Zbpv+Y/AvSLyOZzJT992t6d9jwIpyf+LApkqn3XSfs4yO1dN2v+HLE3lzz9lPnumNpnntymH32ep19HqN06TZrFmY4wxxhhjjCkHthy3McYYY4wxxkwg64QZY4wxxhhjzASyTlgBiUhIRNaIyAYR2SQi/+JuXygiL4jIDhH5iTvxtOhExCsiL4vIA+7PJVlPABHZIyKvish6EVnnbmsQkcdEZLv777Ri13OqEZErRGSr+525rdj1yYaIzBWRx0Vks9tOP+puT/t9Esf/uJ/xFRE5J6Wsm9z9t4vITSnb3+h+X3e4xxZtQdRs27mbbOIn7vYXRGRBShmfcLdvFZHLU7aX3f9/uSjn320x21ipnBeK0e5K+RxeTBPdliSH65WJOL+IyN0iclhENqZsK5m2mKF+t4tIm/s7XC8iq1Jey0u7GKntFYyq2qNAD5y1+6rd537gBeBNwH3ADe72rwN/Wey6unX5GPAj4AH355Ksp1ufPUDTsG1fAm5zn98GfLHY9ZxKD5wJ1DuBRUAA2AAsL3a9sqj3TOAc93kNsA1Ynun7BKwCHnLb95uAF9ztDcAu999p7vNp7mtr3H3FPfbKIn7erNo58FfA193nNwA/cZ8vd/9vg8BC9//cW67//+XwKPffbTHbWKmcF4rR7jK9x1R+FKMtkcP1Sj6/+yPU5+3AOcDGiaxPtm0xQ/1uB/4+zb55axeZ2l4hHzYSVkDq6HN/9LsPBS4G7ne3fxe4ZuJrdyIRmQP8EfAt92ehBOs5iqtx6gnlUd/J5jxgh6ruUtUocC/O/0lJU9UDqvqS+7wX2ALMJvP36Wrge277fh5nbbaZwOXAY6p6VFU7gceAK9zXalX1eXX+un+PIn03c2znqZ//fuASd/+rgXtVNaKqu4EdOP/3Zfn/XybK+ndb5DZW9PNCMdpdmZ7DJ0KptKWinV9U9SmcLK8TXZ+s2mKG+mWSz3aRqe0VjHXCCkycEIT1wGGcL+lOoEtV4+4urTgno2L7L+DjQNL9uZHSrOcQBR4VkRdF5BZ323RVPeA+PwhML07VpqzZwL6Un0vtOzMqN/zgbJxR60zfp0yfc6TtrWm2F8N/kX07P/Z53Ne73f1z/fxm/CbN77YIbawUzgv/xcS3u1I/hxdLMdpSLtcrxTq/lENb/IgbEnl3SihjPttFprZXMNYJKzBVTajqWTgrvp8HnFrcGp1MRN4JHFbVF4tdlxy8TVXPAa4EbhWRt6e+6N6BsfUXTNZEpBr4GfA3qtqT+tpk+D6VaTs3k0ix21gx2rG1O0OZXa+UaFv8GrAYOAs4APxnAao14awTNkFUtQt4HHgzznDu0ELZc4C2YtXL9VbgKhHZgzNkezHw35RePY9R1Tb338PAL3A6uIfcoXDcfw8Xr4ZTUhswN+XnkvrOjERE/DgXhz9U1Z+7mzN9nzJ9zpG2z0mzfaLl2s6PfR739Tqgg9w/vxm/sv/dFrGNFfu8UKx21zHCe0xlE96WcrxeKdb5paTboqoecgc1ksA3cX6HY6nfSO0iU9srGOuEFZCINItIvfu8AngHTiz848C17m43Ab8qSgVdqvoJVZ2jqgtwJiP+XlXfS4nVc4iIVIlIzdBz4DJgI7Aap55QQvWdQtYCS93MQwGc79LqItdpVG7M97eBLar65ZSXMn2fVgMfEMebgG43xOIR4DIRmeaGSlwGPOK+1iMib3Lf6wMU4bs5hnae+vmvdfdXd/sNbiaphcBSnInYZfn/XybK+ndb5DZW1PNCsdqde0xJnsOLbELb0hiuV4p1finptjjUeXO9C+d3OFRmvtpFprZXODrBmWmm0gM4A3gZeMX9wnzK3b7I/ZLsAH4KBItd15Q6X8jx7E0lWU+3Xhvcxybgn9ztjcDvgO3Ab4GGYtd1qj1wMiltw5n7+E/Frk+WdX4bTljEK8B697Eq0/cJJ+PTV9zP+CqwMqWsP3Pbyw7gT1O2r3T/BuwE7gSkyJ951HYOhNyfd7ivL0o5/p/cz7KVlExc5fj/Xy6Pcv7dFrONldJ5YaLbXab3mOqPiWxL5Hi9ks/v/gh1+jFOSF8MZ07UzaXUFjPU7/vu+7+C01mame92MVLbK9Rj6BdjjDHGGGOMMWYCWDiiMcYYY4wxxkwg64QZY4wxxhhjzASyTpgxxhhjjDHGTCDrhBljjDHGGGPMBLJOmDHGGGOMMcZMIOuEGWNMFkTk2WLXwZhyZG3HmMKZqPYlIteIyPIxHNdXiPpMBpai3hhjjDFlSUR8qhovdj2MmexE5B6cde7uz/G4PlWtLkytypuNhE1hIvJLEXlRRDaJyC3utptFZJuIrBGRb4rIne72ZhH5mYisdR9vLW7tjZlYQ3fzRORCEXlCRO4XkddE5IciIu5r54rIsyKywW1DNSISEpHviMirIvKyiFzk7vtBtw0+JiJ7ROQjIvIxd5/nRaTB3W+xiDzsttWnReTU4v0WjMldlm3nCyKyWUReEZH/cLfdIyLXZijnaRFZDWx2t510Phs6RkQ+77bJ50Vkurt9uoj8wt2+QUTe4m5/n9t214vIN0TEO0G/JmPGZLT2JSJXiMhPU/a/UEQecJ9fJiLPichLIvJTEal2t5/QHt32cRXw727bWJzp3CQiC90yXxWRz038b6SMFHvlcnsU78HxFdErcFY3nw3sARoAP/A0cKe7z4+At7nP5wFbil1/e9hjIh9An/vvhUA3MAfnRtZzwNuAALALONfdrxbwAX8H3O1uOxV4HQgBHwR2ADVAs1vmh9397gD+xn3+O2Cp+/x84PfF/l3Ywx65PLJoO43AVo5H59S7/94DXJuhnH5gYcprw89nje7PCvyx+/xLwCfd5z9JaWNeoA54A/BrwO9u/yrwgWL//uxhj5EeWbQvn3veqXL3+xrwPqAJeCpl+z8Cn8qhPaY9NwGrh9oNcOtQ/exx8sOHmcr+WkTe5T6fC7wfeFJVjwK4d06Wua9fCix3b1oC1IpItaparK+ZitaoaiuAiKwHFuCc/A6o6loAVe1xX38b8L/uttdEZC/H29XjqtoL9IpIN84FIMCrwBnuXcm3AD9NaXvBwn40YwoqXdt5HggD33bv0D+QZTm7U34efj5bCnQA0ZTyXgTe4T6/GPgAgKomgG4ReT/wRmCt294qgMO5f0Rjiuak9qWqfxCRh4E/FpH7gT8CPg5cACwHnnG/7wGcjls3o7THUc5NbwXe4z7/PvDFPH/GScM6YVOUiFyI07F6s6oOiMgTwGs4dwLT8QBvUtXwhFTQmNIWSXmeYOx/S1PLSab8nHTL9ABdqnrWGMs3ptSc1HZUNS4i5wGXANcCH8HpJMVxp02IiAfnInFI/9CTDOezkPtyTN1b8ozeVgX4rqp+YkyfzJjiy3RuuhenXR0F1qlqrxsK/Jiq3ji8kAztMdVo5yZLOJEFmxM2ddUBne4J61TgTUAVcIGITBMRH8fvZAA8Cvy/oR9E5KyJrKwxZWArMFNEzgUQZz6YDyes973utmU44bxbsynQHU3bLSLXuceLiJxZiMobUyzuXfU6VX0Q+Ftg6Du+B2dkCpz5KP4MRaQ7n43md8Bfuu/vFZE6d9u1ItLibm8Qkflj+EjGlJongXOAv8DpkIEzAv1WEVkCICJVIrJshPbYixM+P9q56RngBvf5ewv7scqbdcKmrocBn4hsAb6A0xjbgH8F1uA0oj04w9IAfw2sdCdpbgY+POE1NqaEqWoUuB74XxHZADyGczf+q4BHRF7FmYfyQVWNZC7pJO8FbnbL3ARcnd+aG1N0NcADIvIK8AfgY+72b+LcGNwAvJmU0a9h0p3PRvNR4CK3Xb4ILFfVzcAngUfdujwGzBzjZzKmZLghtw8AV7r/oqpHcOYm/9j9vj+HM285U3u8F/gHcZJHLSbzuemjwK1u25o9AR+vbFmKenOCoXle7h38X+AkFPhFsetljDHGGGPMZGEjYWa4293JnBuB3cAvi1obY4wxxhhjJhkbCTPGGGOMMcaYCWQjYcYYY4wxxhgzgawTZowxxhhjjDETyDphxhhjjDHGGDOBrBNmjDHGGGOMMRPIOmHGGGOMMcYYM4H+f1BsPdfWwHIiAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_df = pd.melt(email[confounders + [\"em1\"]], [\"em1\"], confounders)\n",
    "\n",
    "g = sns.FacetGrid(plt_df, col=\"variable\", hue=\"em1\", col_wrap=4, sharey=False, sharex=False)\n",
    "\n",
    "for i, ax in enumerate(g.axes):\n",
    "    iter_df = plt_df.loc[lambda df: df[\"variable\"] == confounders[i]]\n",
    "    sns.kdeplot(x=\"value\", hue=\"em1\", data=iter_df, ax=ax, fill=True)\n",
    "    ax.set_xlabel(confounders[i])\n",
    "\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " \n",
    "### Stored Propensity Score\n",
    " \n",
    "Now that we've confirmed that the assignment of `em1` is indeed biased, we can work on debiasing it with the propensity score. Now it's a good time to answer a question that might be in your head: why can't I just use orthogonalization? Or, more elegantly, when should I use the propensity score instead of orthogonalization. That's a good question and one I confess I don't have all the answers for. However, there is one clear case when there is a strong argument for the propensity score.\n",
    " \n",
    "When you've stored the probabilities of receiving the treatment while conducting your experiment, **propensity score debiasing can be done without having to estimate a model**. If the assignment of the emails was done in a probabilistic way and we've stored those probabilities, then we don't have to rely on models. That's a huge advantage, because models are never perfect, which means that debiasing with them is also never perfect. Here, we have this situation where we've stored the probabilities of the treatments in the columns `em1_ps`, `em2_ps` and `em3_ps`. \n",
    " \n",
    "Since we are dealing only with `em1`, we only need the probability in `em1_ps` to do the debiasing. Here is what we'll do. First, we will generate the debiasing weights by using the formula we've seen above. Then, we will resample with replacement from this dataset, using the newly created weights. This means a unit with weight 2 will be resampled twice as often as a unit with weight 1. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(123)\n",
    "em1_rnd = email.assign(\n",
    "    em1_w = email[\"em1\"]/email[\"em1_ps\"] + (1-email[\"em1\"])/(1-email[\"em1_ps\"])\n",
    ").sample(10000, replace=True, weights=\"em1_w\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>income</th>\n",
       "      <th>insurance</th>\n",
       "      <th>invested</th>\n",
       "      <th>em1_ps</th>\n",
       "      <th>em2_ps</th>\n",
       "      <th>em3_ps</th>\n",
       "      <th>em1</th>\n",
       "      <th>em2</th>\n",
       "      <th>em3</th>\n",
       "      <th>converted</th>\n",
       "      <th>em1_w</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2252</th>\n",
       "      <td>44.0</td>\n",
       "      <td>5102.43</td>\n",
       "      <td>42300.28</td>\n",
       "      <td>2294.60</td>\n",
       "      <td>0.097928</td>\n",
       "      <td>0.012976</td>\n",
       "      <td>0.902465</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.108559</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4364</th>\n",
       "      <td>44.0</td>\n",
       "      <td>8503.72</td>\n",
       "      <td>751.08</td>\n",
       "      <td>33314.37</td>\n",
       "      <td>0.058805</td>\n",
       "      <td>0.188387</td>\n",
       "      <td>0.830375</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>17.005333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>752</th>\n",
       "      <td>44.4</td>\n",
       "      <td>1778.21</td>\n",
       "      <td>24615.45</td>\n",
       "      <td>3054.08</td>\n",
       "      <td>0.279973</td>\n",
       "      <td>0.017270</td>\n",
       "      <td>0.972922</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3.571777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3656</th>\n",
       "      <td>39.8</td>\n",
       "      <td>1752.18</td>\n",
       "      <td>487.22</td>\n",
       "      <td>1893.95</td>\n",
       "      <td>0.284108</td>\n",
       "      <td>0.010710</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1.396859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4613</th>\n",
       "      <td>43.1</td>\n",
       "      <td>1023.04</td>\n",
       "      <td>64695.01</td>\n",
       "      <td>2220.32</td>\n",
       "      <td>0.484638</td>\n",
       "      <td>0.012556</td>\n",
       "      <td>0.988928</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1.940382</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       age   income  insurance  invested    em1_ps    em2_ps    em3_ps  em1  \\\n",
       "2252  44.0  5102.43   42300.28   2294.60  0.097928  0.012976  0.902465    0   \n",
       "4364  44.0  8503.72     751.08  33314.37  0.058805  0.188387  0.830375    1   \n",
       "752   44.4  1778.21   24615.45   3054.08  0.279973  0.017270  0.972922    1   \n",
       "3656  39.8  1752.18     487.22   1893.95  0.284108  0.010710  0.000000    0   \n",
       "4613  43.1  1023.04   64695.01   2220.32  0.484638  0.012556  0.988928    0   \n",
       "\n",
       "      em2  em3  converted      em1_w  \n",
       "2252    0    1          0   1.108559  \n",
       "4364    0    0          1  17.005333  \n",
       "752     0    1          1   3.571777  \n",
       "3656    0    0          0   1.396859  \n",
       "4613    0    1          1   1.940382  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.seed(5)\n",
    "em1_rnd.sample(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This resampling should make a new dataset that is debiased. It should have oversampled units that looked like the treated (high `em1_ps`) but did not get the treatment and those that looked like the control (low `em1_ps`), but got the treatment. \n",
    " \n",
    "If we look at correlations between the treatment and the confounders, we can see that they essentially vanished."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>em1</th>\n",
       "      <th>converted</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>age</th>\n",
       "      <td>-0.021004</td>\n",
       "      <td>0.404736</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>income</th>\n",
       "      <td>-0.026685</td>\n",
       "      <td>-0.037946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>insurance</th>\n",
       "      <td>-0.037656</td>\n",
       "      <td>-0.071385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>invested</th>\n",
       "      <td>-0.012073</td>\n",
       "      <td>-0.047987</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>em1</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.076342</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>converted</th>\n",
       "      <td>0.076342</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                em1  converted\n",
       "age       -0.021004   0.404736\n",
       "income    -0.026685  -0.037946\n",
       "insurance -0.037656  -0.071385\n",
       "invested  -0.012073  -0.047987\n",
       "em1        1.000000   0.076342\n",
       "converted  0.076342   1.000000"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "em1_rnd[confounders + [\"em1\", \"converted\"]].corr()[[\"em1\", \"converted\"]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Moreover, if we look at the confounders distributions by treatment assignment, we can see how nicely they align. This is not 100% proof that the debiasing worked, but it's good evidence of it. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_df = pd.melt(em1_rnd[confounders + [\"em1\"]], [\"em1\"], confounders)\n",
    "\n",
    "g = sns.FacetGrid(plt_df, col=\"variable\", hue=\"em1\", col_wrap=4, sharey=False, sharex=False)\n",
    "\n",
    "for i, ax in enumerate(g.axes):\n",
    "    iter_df = plt_df.loc[lambda df: df[\"variable\"] == confounders[i]]\n",
    "    sns.kdeplot(x=\"value\", hue=\"em1\", data=iter_df, ax=ax, fill=True)\n",
    "    ax.set_xlabel(confounders[i])\n",
    "\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This new dataset we've created is now debiased. We can use it to do model evaluation or any other analys that requires the treatment to be randomly assigned. There is only one thing you need to watch out for. Notice how I've sampled 10000 points but the original dataset had only 5000? With this resampling method, I can make a debiased dataset as big as I wish. This means that confidence intervals that are computed in it are not valid, as they don't take into account the fact that the sample size can be artificially inflated. \n",
    " \n",
    "Ok, so this technique was super effective because we had the stored probabilities in the first place, but what if we don't? What if we only have access to the confounders and the treatment that got assigned, but not to how likely those units were to get the treatment?\n",
    " \n",
    "### Estimated Propensity Score\n",
    " \n",
    "If we don't have the propensity score stored, we will have to estimate them. In this situation, it becomes less clear when you should use propensity score or orthogonalisation for debiasing.\n",
    " \n",
    "Since we don't have the propensity score, we will use a machine learning model to estimate it. The propensity score is closely related to the probability of treatment, so this ML model must be calibrated to output a probability. Not only that, we need to do cross prediction to work around any sort of bias we might have due to overfitting. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import cross_val_predict\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.calibration import CalibratedClassifierCV\n",
    "\n",
    "t = \"em1\"\n",
    "\n",
    "folds = 5\n",
    "\n",
    "np.random.seed(123)\n",
    "\n",
    "# makes calibrated Random Forest. \n",
    "m_t = CalibratedClassifierCV(\n",
    "    RandomForestClassifier(n_estimators=100, min_samples_leaf=40, max_depth=3),\n",
    "    cv=3\n",
    ")\n",
    "\n",
    "# estimate PS with cross prediction. \n",
    "ps_score_m1 = cross_val_predict(m_t, email[confounders], email[t],\n",
    "                                cv=folds, method=\"predict_proba\")[:, 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>income</th>\n",
       "      <th>insurance</th>\n",
       "      <th>invested</th>\n",
       "      <th>em1_ps</th>\n",
       "      <th>em2_ps</th>\n",
       "      <th>em3_ps</th>\n",
       "      <th>em1</th>\n",
       "      <th>em2</th>\n",
       "      <th>em3</th>\n",
       "      <th>converted</th>\n",
       "      <th>ps_score_m1_est</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>44.1</td>\n",
       "      <td>4214.66</td>\n",
       "      <td>14036.41</td>\n",
       "      <td>7988.66</td>\n",
       "      <td>0.118507</td>\n",
       "      <td>0.045174</td>\n",
       "      <td>0.921281</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.104727</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>39.8</td>\n",
       "      <td>1151.27</td>\n",
       "      <td>66622.15</td>\n",
       "      <td>1000.74</td>\n",
       "      <td>0.431123</td>\n",
       "      <td>0.005659</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.389991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>49.0</td>\n",
       "      <td>8047.26</td>\n",
       "      <td>14119.53</td>\n",
       "      <td>29480.22</td>\n",
       "      <td>0.062137</td>\n",
       "      <td>0.166706</td>\n",
       "      <td>0.840049</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0.083805</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>39.7</td>\n",
       "      <td>10558.37</td>\n",
       "      <td>14798.26</td>\n",
       "      <td>36373.09</td>\n",
       "      <td>0.047372</td>\n",
       "      <td>0.205684</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.086290</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>35.3</td>\n",
       "      <td>802.15</td>\n",
       "      <td>780.84</td>\n",
       "      <td>1643.16</td>\n",
       "      <td>0.616450</td>\n",
       "      <td>0.009292</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.737111</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    age    income  insurance  invested    em1_ps    em2_ps    em3_ps  em1  \\\n",
       "0  44.1   4214.66   14036.41   7988.66  0.118507  0.045174  0.921281    0   \n",
       "1  39.8   1151.27   66622.15   1000.74  0.431123  0.005659  0.000000    1   \n",
       "2  49.0   8047.26   14119.53  29480.22  0.062137  0.166706  0.840049    0   \n",
       "3  39.7  10558.37   14798.26  36373.09  0.047372  0.205684  0.000000    0   \n",
       "4  35.3    802.15     780.84   1643.16  0.616450  0.009292  0.000000    1   \n",
       "\n",
       "   em2  em3  converted  ps_score_m1_est  \n",
       "0    0    1          1         0.104727  \n",
       "1    0    0          0         0.389991  \n",
       "2    0    1          0         0.083805  \n",
       "3    0    0          0         0.086290  \n",
       "4    0    0          0         0.737111  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "email.assign(ps_score_m1_est = ps_score_m1).head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Just out of curiosity, notice that the estimated propensity score, `ps_score_m1_est`, is close to the true one `em1_ps`, but not identical. Those errors in the estimation process will affect the final debiasing, but we hope it won't affect much. We can also check how well calibrated our score is. For that, we can plot the mean score against the mean `em1`. If the score is well calibrated, 20% of those with a score of 0.2 should have received email-1, 30% of those with a score of 0.3 should have received email-1 and so on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.calibration import calibration_curve\n",
    "\n",
    "prob_true, prob_pred = calibration_curve(email[\"em1\"], ps_score_m1, n_bins=3)\n",
    "plt.plot(prob_pred, prob_true, label=\"Calibrated RF\")\n",
    "plt.plot([.1,.8], [.1, .8], color=\"grey\", linestyle=\"dashed\", label=\"Perfectly Calibrated\")\n",
    "plt.ylabel(\"Fraction of Positives\")\n",
    "plt.xlabel(\"Average Prediction\")\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From here, we can proceed as if we had the true propensity score.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(123)\n",
    "em1_rnd_est = email.assign(\n",
    "    em1_w = email[\"em1\"]/ps_score_m1 + (1-email[\"em1\"])/(1-ps_score_m1)\n",
    ").sample(10000, replace=True, weights=\"em1_w\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we check the correlation structure, we will see that there are still some strong correlations between the treatment and the confounders, even after the debiasing process. For instance, income has a correlation of `-0.18` this is lower than the correlation in the unbiased dataset (`-0.3`), but much higher than what we got in the dataset that was debiased with the original propensity score (`0.01`). The same is true for the `invested` variable, which still shows some correlation. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "age         -0.030409\n",
       "income      -0.150937\n",
       "insurance   -0.037893\n",
       "invested    -0.111138\n",
       "em1          1.000000\n",
       "Name: em1, dtype: float64"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "em1_rnd_est[confounders + [\"em1\"]].corr()[\"em1\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_df = pd.melt(em1_rnd_est[confounders + [\"em1\"]], [\"em1\"], confounders)\n",
    "\n",
    "g = sns.FacetGrid(plt_df, col=\"variable\", hue=\"em1\", col_wrap=4, sharey=False, sharex=False)\n",
    "\n",
    "for i, ax in enumerate(g.axes):\n",
    "    iter_df = plt_df.loc[lambda df: df[\"variable\"] == confounders[i]]\n",
    "    sns.kdeplot(x=\"value\", hue=\"em1\", data=iter_df, ax=ax, fill=True)\n",
    "    ax.set_xlabel(confounders[i])\n",
    "\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As for the distributions, we can see that they don't align that well as before, specially for the variables `invested` and `income`\n",
    " \n",
    "## The Weakness of Propensity Score\n",
    " \n",
    "We've already talked a lot about this on the propensity score chapter, so I won't spend much time on it, but it is recalling one of the main weaknesses with the propensity score debiasing. It has to do with propensities scores that are two high or too low. \n",
    "\n",
    "![img](./data/img/debias-ps/fear-no-man.png)\n",
    " \n",
    "To understand this, take a look at the following unit in our original dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>income</th>\n",
       "      <th>insurance</th>\n",
       "      <th>invested</th>\n",
       "      <th>em1_ps</th>\n",
       "      <th>em2_ps</th>\n",
       "      <th>em3_ps</th>\n",
       "      <th>em1</th>\n",
       "      <th>em2</th>\n",
       "      <th>em3</th>\n",
       "      <th>converted</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1014</th>\n",
       "      <td>43.2</td>\n",
       "      <td>18628.09</td>\n",
       "      <td>30356.68</td>\n",
       "      <td>28335.68</td>\n",
       "      <td>0.026862</td>\n",
       "      <td>0.160233</td>\n",
       "      <td>0.615788</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       age    income  insurance  invested    em1_ps    em2_ps    em3_ps  em1  \\\n",
       "1014  43.2  18628.09   30356.68  28335.68  0.026862  0.160233  0.615788    1   \n",
       "\n",
       "      em2  em3  converted  \n",
       "1014    0    0          1  "
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "email.loc[[1014]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This unit has a propensity score of 0.027 for `em1`. This means it's weight will be around 37 (1/0.027). This unit will be sampled almost twice as much as a treated unit with a propensity score of 0.05 (weight of 20), which is already a very low propensity score. This unit appears 38 times in the dataset we've resampled using the stored (not estimated) propensity score."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(38, 12)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "em1_rnd.loc[[1014]].shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's a problem, because the debiased dataset is overpopulated with only one unit. If this unit wasn't in the original dataset, the debiased dataset could look totally different. So, removing a single unit can affect a lot how a debiased dataset looks like. This is a problem of high variance.\n",
    " \n",
    "If we plot the number of replications for each unit in the debiased dataset, we see that a bunch of them appear more than 10 times. Those are treated units with low propensity score or untreated units with high propensity score. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,5))\n",
    "sns.scatterplot(\n",
    "    data=em1_rnd.assign(count=1).groupby(em1_rnd.index).agg({\"count\":\"count\", \"em1_ps\": \"mean\", \"em1\": \"mean\"}),\n",
    "    x=\"em1_ps\",\n",
    "    y=\"count\",\n",
    "    hue=\"em1\",\n",
    "    alpha=0.2\n",
    ")\n",
    "plt.title(\"Replications on Debiased Data\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To avoid having overly important units, some scientists like to clip the weights, forcing them to be, let's say, at most 20. It is true that this technique will remove some of the variance, but it will add bias back. Since the whole point of this was to remove bias, I feel like clipping the weights is not a good idea.\n",
    " \n",
    "In my opinion, the best thing you can do is at the experimentation phase, not at the analysis phase. You should make sure none of the units have a weight that is too high. In other words, as much as possible, try to give the treatment with equal probabilities to everyone. \n",
    " \n",
    "To be fair to the propensity weighting method, all causal inference methods will suffer whenever the probability of receiving either the treatment or the control is too low, for the entire sample or for a subpopulation. Intuitively, this means some units will almost never receive the treatment or the control, which will make it difficult to estimate counterfactuals for those units. This problem can be seen as almost violating the common support assumption, which we will explore next. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Positivity or Common Support\n",
    " \n",
    "Besides high variance, we can also have problems with positivity. Positivity, or common support is a causal inference assumption which states that there must be sufficient overlap between the characteristics of the treated and the control units. Or, in other words, that everyone has a non zero probability of getting the treatment or the control. If this doesn't happen, we won't be able to estimate a causal effect that is valid for the entire population, only for those we have common support.\n",
    " \n",
    "To be clear, positivity issues are problems of the data itself, not a problem with the propensity score method. Propensity score method just makes it very clear when positivity problems exist. In that sense, this is an argument in favor of the propensity score. While most methods will not warn you when there are positivity problems, propensity score will show it to your face. All you have to do is plot the distribution of the propensity score for the treated and for the untreated."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 402.375x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.displot(data=email, x=\"em1_ps\", hue=\"em1\")\n",
    "plt.title(\"Positivity Check\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If they have a nice overlap, like in the plot above, then you have common support. \n",
    " \n",
    "Up until now, we've only looked at email-1 (`em1`). Let's look at email-3 now. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>income</th>\n",
       "      <th>insurance</th>\n",
       "      <th>invested</th>\n",
       "      <th>em1_ps</th>\n",
       "      <th>em2_ps</th>\n",
       "      <th>em3_ps</th>\n",
       "      <th>em1</th>\n",
       "      <th>em2</th>\n",
       "      <th>em3</th>\n",
       "      <th>converted</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>44.1</td>\n",
       "      <td>4214.66</td>\n",
       "      <td>14036.41</td>\n",
       "      <td>7988.66</td>\n",
       "      <td>0.118507</td>\n",
       "      <td>0.045174</td>\n",
       "      <td>0.921281</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>39.8</td>\n",
       "      <td>1151.27</td>\n",
       "      <td>66622.15</td>\n",
       "      <td>1000.74</td>\n",
       "      <td>0.431123</td>\n",
       "      <td>0.005659</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>49.0</td>\n",
       "      <td>8047.26</td>\n",
       "      <td>14119.53</td>\n",
       "      <td>29480.22</td>\n",
       "      <td>0.062137</td>\n",
       "      <td>0.166706</td>\n",
       "      <td>0.840049</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>39.7</td>\n",
       "      <td>10558.37</td>\n",
       "      <td>14798.26</td>\n",
       "      <td>36373.09</td>\n",
       "      <td>0.047372</td>\n",
       "      <td>0.205684</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>35.3</td>\n",
       "      <td>802.15</td>\n",
       "      <td>780.84</td>\n",
       "      <td>1643.16</td>\n",
       "      <td>0.616450</td>\n",
       "      <td>0.009292</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    age    income  insurance  invested    em1_ps    em2_ps    em3_ps  em1  \\\n",
       "0  44.1   4214.66   14036.41   7988.66  0.118507  0.045174  0.921281    0   \n",
       "1  39.8   1151.27   66622.15   1000.74  0.431123  0.005659  0.000000    1   \n",
       "2  49.0   8047.26   14119.53  29480.22  0.062137  0.166706  0.840049    0   \n",
       "3  39.7  10558.37   14798.26  36373.09  0.047372  0.205684  0.000000    0   \n",
       "4  35.3    802.15     780.84   1643.16  0.616450  0.009292  0.000000    1   \n",
       "\n",
       "   em2  em3  converted  \n",
       "0    0    1          1  \n",
       "1    0    0          0  \n",
       "2    0    1          0  \n",
       "3    0    0          0  \n",
       "4    0    0          0  "
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "email.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First thing that jumps the eye is that there are units with zero probability, which already indicates a violation to the positivity assumption. Now, let's look at the features distributions by `em3`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 762.375x720 with 20 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.pairplot(email.sample(1000)[confounders + [\"em3\"]], hue=\"em3\", plot_kws=dict(alpha=0.3));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It looks like `em3` was only sent to customers that are older than 40 years. Thats a huge problem. If the control has younger folks, but the treatment doesn't, there is no way we can estimate the counterfactual $Y_0|T=1, age<40$. Simply because we have no idea how younger customers will respond to this email. \n",
    " \n",
    "Just so you know what will happen, we can try to make the propensity score debiasing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "em3_weight = (email\n",
    "              # using a different implementation to avoid division by zero\n",
    "              .assign(em3_w = np.where(email[\"em3\"].astype(bool), 1/email[\"em3_ps\"], 1/(1-email[\"em3_ps\"])))\n",
    "              .sample(10000, replace=True, weights=\"em3_w\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "age          0.251035\n",
       "income       0.047607\n",
       "insurance   -0.000961\n",
       "invested     0.053524\n",
       "em3          1.000000\n",
       "Name: em3, dtype: float64"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "em3_weight[confounders + [\"em3\"]].corr()[\"em3\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see, there is still a huge correlation between age and the treatment. Not having treated samples that are younger than 40 years made it so that we couldn't remove the bias due to age.\n",
    " \n",
    "We can also run the positivity diagnostic, plotting the propensity score distribution by treatment. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 402.375x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.displot(data=email, x=\"em3_ps\", hue=\"em3\")\n",
    "plt.title(\"Positivity Check\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice how poor the overlap is here. Units with propensity score below 0.4 almost never get the treatment. Not to mention that huge peak at zero. \n",
    " \n",
    "### Positivity In Practice\n",
    " \n",
    "Issues in positivity are very serious in the academic world because they treat the generalization of a conclusion or theory. If you only have treated individuals that are older, you have no way of generalizing whatever treatment effect that you find to a younger population. But in the industry, violations of the positivity assumption might not be so problematic. \n",
    " \n",
    "To give an example, if you are a lender wishing to estimate the elasticity of loan amount on probability of default, you will probably not give high loans to people with very low credit scores. Sure, this will violate the positivity assumption, but you are not very interested in estimating the loan amount elasticity for risky customers because you are not intending to give them loans anyway. Or, for a somewhat more exaggerated example, if you want to estimate the price elasticity of some product, you will probably not test prices from 0 to 1000000. That's because you have some intuition on where the prices normally are. You will often test around that region. \n",
    " \n",
    "The point here is that you can (and probably should) use your intuition to exclude some part of the population from receiving the treatment (or the control). Doing random experiments is expensive, so you should focus your efforts on where things are more promising. \n",
    " \n",
    "In our email example, probably the marketing team though that email-3 should never be sent to younger people. Maybe it contains text explicitly discussing something that only older people can relate to. Regardless of the reason, we can only estimate the effect of email-3 on the older, age>40, population. And that is totally fine. We just shouldn't expect to generalize whatever findings we have to the younger population.\n",
    " \n",
    "With that in mind, let's debias email-3. Of course, we will remove the younger population from the sample. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "age         -0.034455\n",
       "income       0.024633\n",
       "insurance   -0.005650\n",
       "invested     0.020711\n",
       "em3          1.000000\n",
       "Name: em3, dtype: float64"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "em3_weight.query(\"age>40\")[confounders + [\"em3\"]].corr()[\"em3\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once we do that, notice how the correlation between the treatment and the confounders goes away. Remember that in the entire sample, the correlation with age was more than 0.2. Now, it is probably indistinguishable from zero.\n",
    " \n",
    "We can also explore the distribution of treated and non treated in this filtered sample."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x132656b70>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 762.375x720 with 20 Axes>"
      ]
     },
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    }
   ],
   "source": [
    "sns.pairplot(em3_weight.query(\"age>40\").sample(1000)[confounders + [\"em3\"]], hue=\"em3\", plot_kws=dict(alpha=0.3))"
   ]
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   "source": [
    "All of this to say that, yes, due to positivity violations, you can't debias the entire sample with respect to `em3`. But you can do it for the population for which email-3 was designed for in the first place. That is good enough.\n",
    " \n",
    "## Key Ideas\n",
    " \n",
    "This chapter presented another debiasing idea for when the treatment is binary or discrete. The idea is to resample the units using the inverse propensity score as a weight. This will upsample the units that look like the treated (high propensity score) but where not treated and those that look like the untreated (low propensity score) but where treated. \n",
    " \n",
    "The main advantage of propensity score debiasing is that it doesn't require estimating a model, if you've stored the probabilities of treatment during the experiment. This doesn't mean you can't apply propensity reweighting if you don't have those probabilities, but having to estimate them will add additional error to your debiasing process. \n",
    " \n",
    "As for the disadvantages, the propensity score reweighting can have a huge variance if the propensity score is either too high or too low, generating huge weights. Intuitively, this happens when there are very few untreated units that look like the treated and very few treated units that look like the untreated. To be fair to the propensity score weighting, this is a problem for all causal inference methods, but propensity weighting highlights this almost violation to the positivity assumption more clearly. \n",
    " \n",
    "Finally, we had a brief discussion about how much of a problem is violation in the positivity assumption. We ended up concluding that it is not a problem **as long as you don't wish to generalize your conclusions to the subset of the population where positivity doesn't hold**.\n",
    " \n",
    "## References \n",
    " \n",
    "The things I've written here are mostly stuff from my head. I've learned them through experience. This means that they have **not** passed the academic scrutiny that good science often goes through. Instead, notice how I'm talking about things that work in practice, but I don't spend too much time explaining why that is the case. It's a sort of science from the streets, if you will. However, I am putting this up for public scrutiny, so, by all means, if you find something preposterous, open an issue and I'll address it to the best of my efforts.\n",
    " \n",
    "Most of this chapter draws from Guido W. Imbens, Causal Inference for Statistics, Social, and Biomedical Sciences, where you will find extensive discussions on the propensity score. The discussion on positivity is on me though, from countless debates I had at work with my colleagues. \n",
    " \n",
    "## Contribute\n",
    " \n",
    "Causal Inference for the Brave and True is an open-source material on causal inference, the statistics of science. It uses only free software, based in Python. Its goal is to be accessible monetarily and intellectually.\n",
    "If you found this book valuable and you want to support it, please go to [Patreon](https://www.patreon.com/causal_inference_for_the_brave_and_true). If you are not ready to contribute financially, you can also help by fixing typos, suggesting edits or giving feedback on passages you didn't understand. Just go to the book's repository and [open an issue](https://github.com/matheusfacure/python-causality-handbook/issues). Finally, if you liked this content, please share it with others who might find it useful and give it a [star on GitHub](https://github.com/matheusfacure/python-causality-handbook/stargazers)."
   ]
  }
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}
